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Finding the Fourth Proportional to 477,997.53, 715,964.18 and 224,898.75

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Solution

The fourth proportional to 477,997.53, 715,964.18 and 224,898.75 is: 336,862.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,997.53 : 715,964.18 = 224,898.75 : x
  2. Step 2: Convert to fraction form
    477,997.53/715,964.18 = 224,898.75/x
  3. Step 3: Cross multiply
    477,997.53x = 715,964.18 × 224,898.75
  4. Step 4: Simplify right side
    477,997.53x = 161,019,445,546.95
  5. Step 5: Solve for x
    x = 161,019,445,546.95/477,997.53
  6. Step 6: Final answer
    x = 336,862.51

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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.