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Finding the Fourth Proportional to 366,710.78, 506,062.70 and 213,854.97

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Solution

The fourth proportional to 366,710.78, 506,062.70 and 213,854.97 is: 295,120.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,710.78 : 506,062.70 = 213,854.97 : x
  2. Step 2: Convert to fraction form
    366,710.78/506,062.70 = 213,854.97/x
  3. Step 3: Cross multiply
    366,710.78x = 506,062.70 × 213,854.97
  4. Step 4: Simplify right side
    366,710.78x = 108,224,023,526.62
  5. Step 5: Solve for x
    x = 108,224,023,526.62/366,710.78
  6. Step 6: Final answer
    x = 295,120.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.