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Finding the Fourth Proportional to 509,819.60, 703,585.44 and 337,440.57

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Solution

The fourth proportional to 509,819.60, 703,585.44 and 337,440.57 is: 465,690.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,819.60 : 703,585.44 = 337,440.57 : x
  2. Step 2: Convert to fraction form
    509,819.60/703,585.44 = 337,440.57/x
  3. Step 3: Cross multiply
    509,819.60x = 703,585.44 × 337,440.57
  4. Step 4: Simplify right side
    509,819.60x = 237,418,269,278.86
  5. Step 5: Solve for x
    x = 237,418,269,278.86/509,819.60
  6. Step 6: Final answer
    x = 465,690.74

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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.