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Finding the Fourth Proportional to 408,462.94, 563,675.72 and 224,697.56

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Solution

The fourth proportional to 408,462.94, 563,675.72 and 224,697.56 is: 310,080.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,462.94 : 563,675.72 = 224,697.56 : x
  2. Step 2: Convert to fraction form
    408,462.94/563,675.72 = 224,697.56/x
  3. Step 3: Cross multiply
    408,462.94x = 563,675.72 × 224,697.56
  4. Step 4: Simplify right side
    408,462.94x = 126,656,554,973.38
  5. Step 5: Solve for x
    x = 126,656,554,973.38/408,462.94
  6. Step 6: Final answer
    x = 310,080.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.