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Finding the Fourth Proportional to 498,223.02, 747,453.15 and 161,263.71

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Solution

The fourth proportional to 498,223.02, 747,453.15 and 161,263.71 is: 241,933.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,223.02 : 747,453.15 = 161,263.71 : x
  2. Step 2: Convert to fraction form
    498,223.02/747,453.15 = 161,263.71/x
  3. Step 3: Cross multiply
    498,223.02x = 747,453.15 × 161,263.71
  4. Step 4: Simplify right side
    498,223.02x = 120,537,068,020.19
  5. Step 5: Solve for x
    x = 120,537,068,020.19/498,223.02
  6. Step 6: Final answer
    x = 241,933.96

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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.