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Finding the Fourth Proportional to 712,633.83, 981,774.14 and 497,394.15

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Solution

The fourth proportional to 712,633.83, 981,774.14 and 497,394.15 is: 685,244.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,633.83 : 981,774.14 = 497,394.15 : x
  2. Step 2: Convert to fraction form
    712,633.83/981,774.14 = 497,394.15/x
  3. Step 3: Cross multiply
    712,633.83x = 981,774.14 × 497,394.15
  4. Step 4: Simplify right side
    712,633.83x = 488,328,711,370.31
  5. Step 5: Solve for x
    x = 488,328,711,370.31/712,633.83
  6. Step 6: Final answer
    x = 685,244.92

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