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Finding the Fourth Proportional to 498,041.87, 747,158.78 and 161,166.11

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Solution

The fourth proportional to 498,041.87, 747,158.78 and 161,166.11 is: 241,780.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,041.87 : 747,158.78 = 161,166.11 : x
  2. Step 2: Convert to fraction form
    498,041.87/747,158.78 = 161,166.11/x
  3. Step 3: Cross multiply
    498,041.87x = 747,158.78 × 161,166.11
  4. Step 4: Simplify right side
    498,041.87x = 120,416,670,792.07
  5. Step 5: Solve for x
    x = 120,416,670,792.07/498,041.87
  6. Step 6: Final answer
    x = 241,780.22

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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.