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Finding the Fourth Proportional to 407,857.20, 611,188.20 and 365,737.20

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Solution

The fourth proportional to 407,857.20, 611,188.20 and 365,737.20 is: 548,069.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,857.20 : 611,188.20 = 365,737.20 : x
  2. Step 2: Convert to fraction form
    407,857.20/611,188.20 = 365,737.20/x
  3. Step 3: Cross multiply
    407,857.20x = 611,188.20 × 365,737.20
  4. Step 4: Simplify right side
    407,857.20x = 223,534,260,941.04
  5. Step 5: Solve for x
    x = 223,534,260,941.04/407,857.20
  6. Step 6: Final answer
    x = 548,069.92

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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.