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Finding the Fourth Proportional to 417,200.10, 625,800.15 and 257,767.80

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Solution

The fourth proportional to 417,200.10, 625,800.15 and 257,767.80 is: 386,651.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,200.10 : 625,800.15 = 257,767.80 : x
  2. Step 2: Convert to fraction form
    417,200.10/625,800.15 = 257,767.80/x
  3. Step 3: Cross multiply
    417,200.10x = 625,800.15 × 257,767.80
  4. Step 4: Simplify right side
    417,200.10x = 161,311,127,905.17
  5. Step 5: Solve for x
    x = 161,311,127,905.17/417,200.10
  6. Step 6: Final answer
    x = 386,651.70

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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.