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Finding the Fourth Proportional to 310,522.60, 464,909.10 and 279,029.80

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Solution

The fourth proportional to 310,522.60, 464,909.10 and 279,029.80 is: 417,758.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,522.60 : 464,909.10 = 279,029.80 : x
  2. Step 2: Convert to fraction form
    310,522.60/464,909.10 = 279,029.80/x
  3. Step 3: Cross multiply
    310,522.60x = 464,909.10 × 279,029.80
  4. Step 4: Simplify right side
    310,522.60x = 129,723,493,191.18
  5. Step 5: Solve for x
    x = 129,723,493,191.18/310,522.60
  6. Step 6: Final answer
    x = 417,758.62

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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.