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Finding the Fourth Proportional to 408,314.95, 563,459.88 and 224,551.93

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Solution

The fourth proportional to 408,314.95, 563,459.88 and 224,551.93 is: 309,873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,314.95 : 563,459.88 = 224,551.93 : x
  2. Step 2: Convert to fraction form
    408,314.95/563,459.88 = 224,551.93/x
  3. Step 3: Cross multiply
    408,314.95x = 563,459.88 × 224,551.93
  4. Step 4: Simplify right side
    408,314.95x = 126,526,001,280.85
  5. Step 5: Solve for x
    x = 126,526,001,280.85/408,314.95
  6. Step 6: Final answer
    x = 309,873.55

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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.