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Finding the Fourth Proportional to 497,294.58, 745,947.08 and 398,085.42

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Solution

The fourth proportional to 497,294.58, 745,947.08 and 398,085.42 is: 597,132.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,294.58 : 745,947.08 = 398,085.42 : x
  2. Step 2: Convert to fraction form
    497,294.58/745,947.08 = 398,085.42/x
  3. Step 3: Cross multiply
    497,294.58x = 745,947.08 × 398,085.42
  4. Step 4: Simplify right side
    497,294.58x = 296,950,654,649.15
  5. Step 5: Solve for x
    x = 296,950,654,649.15/497,294.58
  6. Step 6: Final answer
    x = 597,132.30

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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.