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Finding the Fourth Proportional to 657,183.60, 985,351.47 and 257,864.71

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Solution

The fourth proportional to 657,183.60, 985,351.47 and 257,864.71 is: 386,630.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,183.60 : 985,351.47 = 257,864.71 : x
  2. Step 2: Convert to fraction form
    657,183.60/985,351.47 = 257,864.71/x
  3. Step 3: Cross multiply
    657,183.60x = 985,351.47 × 257,864.71
  4. Step 4: Simplify right side
    657,183.60x = 254,087,371,059.62
  5. Step 5: Solve for x
    x = 254,087,371,059.62/657,183.60
  6. Step 6: Final answer
    x = 386,630.72

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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.