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Finding the Fourth Proportional to 498,223.07, 747,453.25 and 161,263.78

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Solution

The fourth proportional to 498,223.07, 747,453.25 and 161,263.78 is: 241,934.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,223.07 : 747,453.25 = 161,263.78 : x
  2. Step 2: Convert to fraction form
    498,223.07/747,453.25 = 161,263.78/x
  3. Step 3: Cross multiply
    498,223.07x = 747,453.25 × 161,263.78
  4. Step 4: Simplify right side
    498,223.07x = 120,537,136,468.29
  5. Step 5: Solve for x
    x = 120,537,136,468.29/498,223.07
  6. Step 6: Final answer
    x = 241,934.07

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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.