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Finding the Fourth Proportional to 498,312.45, 747,577.68 and 161,387.16

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Solution

The fourth proportional to 498,312.45, 747,577.68 and 161,387.16 is: 242,116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,312.45 : 747,577.68 = 161,387.16 : x
  2. Step 2: Convert to fraction form
    498,312.45/747,577.68 = 161,387.16/x
  3. Step 3: Cross multiply
    498,312.45x = 747,577.68 × 161,387.16
  4. Step 4: Simplify right side
    498,312.45x = 120,649,438,483.29
  5. Step 5: Solve for x
    x = 120,649,438,483.29/498,312.45
  6. Step 6: Final answer
    x = 242,116.04

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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.