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Finding the Fourth Proportional to 497,046.30, 745,569.45 and 443,132.70

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Solution

The fourth proportional to 497,046.30, 745,569.45 and 443,132.70 is: 664,699.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,046.30 : 745,569.45 = 443,132.70 : x
  2. Step 2: Convert to fraction form
    497,046.30/745,569.45 = 443,132.70/x
  3. Step 3: Cross multiply
    497,046.30x = 745,569.45 × 443,132.70
  4. Step 4: Simplify right side
    497,046.30x = 330,386,203,416.02
  5. Step 5: Solve for x
    x = 330,386,203,416.02/497,046.30
  6. Step 6: Final answer
    x = 664,699.05

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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.