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Finding the Fourth Proportional to 522,002.80, 783,004.20 and 256,282.30

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Solution

The fourth proportional to 522,002.80, 783,004.20 and 256,282.30 is: 384,423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,002.80 : 783,004.20 = 256,282.30 : x
  2. Step 2: Convert to fraction form
    522,002.80/783,004.20 = 256,282.30/x
  3. Step 3: Cross multiply
    522,002.80x = 783,004.20 × 256,282.30
  4. Step 4: Simplify right side
    522,002.80x = 200,670,117,285.66
  5. Step 5: Solve for x
    x = 200,670,117,285.66/522,002.80
  6. Step 6: Final answer
    x = 384,423.45

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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.