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Finding the Fourth Proportional to 522,817.20, 784,209.60 and 148,840.20

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Solution

The fourth proportional to 522,817.20, 784,209.60 and 148,840.20 is: 223,255.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,817.20 : 784,209.60 = 148,840.20 : x
  2. Step 2: Convert to fraction form
    522,817.20/784,209.60 = 148,840.20/x
  3. Step 3: Cross multiply
    522,817.20x = 784,209.60 × 148,840.20
  4. Step 4: Simplify right side
    522,817.20x = 116,721,913,705.92
  5. Step 5: Solve for x
    x = 116,721,913,705.92/522,817.20
  6. Step 6: Final answer
    x = 223,255.69

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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.