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Finding the Fourth Proportional to 497,663.85, 746,495.78 and 272,937.45

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Solution

The fourth proportional to 497,663.85, 746,495.78 and 272,937.45 is: 409,406.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,663.85 : 746,495.78 = 272,937.45 : x
  2. Step 2: Convert to fraction form
    497,663.85/746,495.78 = 272,937.45/x
  3. Step 3: Cross multiply
    497,663.85x = 746,495.78 × 272,937.45
  4. Step 4: Simplify right side
    497,663.85x = 203,746,653,264.27
  5. Step 5: Solve for x
    x = 203,746,653,264.27/497,663.85
  6. Step 6: Final answer
    x = 409,406.18

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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.