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Finding the Fourth Proportional to 497,354.76, 746,177.67 and 160,388.65

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Solution

The fourth proportional to 497,354.76, 746,177.67 and 160,388.65 is: 240,629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,354.76 : 746,177.67 = 160,388.65 : x
  2. Step 2: Convert to fraction form
    497,354.76/746,177.67 = 160,388.65/x
  3. Step 3: Cross multiply
    497,354.76x = 746,177.67 × 160,388.65
  4. Step 4: Simplify right side
    497,354.76x = 119,678,429,151.45
  5. Step 5: Solve for x
    x = 119,678,429,151.45/497,354.76
  6. Step 6: Final answer
    x = 240,629.91

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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.