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Finding the Fourth Proportional to 616,139.85, 849,061.68 and 471,109.86

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Solution

The fourth proportional to 616,139.85, 849,061.68 and 471,109.86 is: 649,205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,139.85 : 849,061.68 = 471,109.86 : x
  2. Step 2: Convert to fraction form
    616,139.85/849,061.68 = 471,109.86/x
  3. Step 3: Cross multiply
    616,139.85x = 849,061.68 × 471,109.86
  4. Step 4: Simplify right side
    616,139.85x = 400,001,329,196.17
  5. Step 5: Solve for x
    x = 400,001,329,196.17/616,139.85
  6. Step 6: Final answer
    x = 649,205.42

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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.