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Finding the Fourth Proportional to 522,099.30, 783,148.95 and 256,378.80

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Solution

The fourth proportional to 522,099.30, 783,148.95 and 256,378.80 is: 384,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,099.30 : 783,148.95 = 256,378.80 : x
  2. Step 2: Convert to fraction form
    522,099.30/783,148.95 = 256,378.80/x
  3. Step 3: Cross multiply
    522,099.30x = 783,148.95 × 256,378.80
  4. Step 4: Simplify right side
    522,099.30x = 200,782,788,022.26
  5. Step 5: Solve for x
    x = 200,782,788,022.26/522,099.30
  6. Step 6: Final answer
    x = 384,568.20

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.