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Finding the Fourth Proportional to 515,854.57, 711,901.54 and 286,411.86

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Solution

The fourth proportional to 515,854.57, 711,901.54 and 286,411.86 is: 395,260.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,854.57 : 711,901.54 = 286,411.86 : x
  2. Step 2: Convert to fraction form
    515,854.57/711,901.54 = 286,411.86/x
  3. Step 3: Cross multiply
    515,854.57x = 711,901.54 × 286,411.86
  4. Step 4: Simplify right side
    515,854.57x = 203,897,044,208.26
  5. Step 5: Solve for x
    x = 203,897,044,208.26/515,854.57
  6. Step 6: Final answer
    x = 395,260.71

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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.