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Finding the Fourth Proportional to 497,630.66, 746,447.91 and 151,417.52

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Solution

The fourth proportional to 497,630.66, 746,447.91 and 151,417.52 is: 227,126.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,630.66 : 746,447.91 = 151,417.52 : x
  2. Step 2: Convert to fraction form
    497,630.66/746,447.91 = 151,417.52/x
  3. Step 3: Cross multiply
    497,630.66x = 746,447.91 × 151,417.52
  4. Step 4: Simplify right side
    497,630.66x = 113,025,291,341.38
  5. Step 5: Solve for x
    x = 113,025,291,341.38/497,630.66
  6. Step 6: Final answer
    x = 227,126.86

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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.