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Finding the Fourth Proportional to 509,675.52, 703,337.33 and 280,232.58

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Solution

The fourth proportional to 509,675.52, 703,337.33 and 280,232.58 is: 386,712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,675.52 : 703,337.33 = 280,232.58 : x
  2. Step 2: Convert to fraction form
    509,675.52/703,337.33 = 280,232.58/x
  3. Step 3: Cross multiply
    509,675.52x = 703,337.33 × 280,232.58
  4. Step 4: Simplify right side
    509,675.52x = 197,098,033,195.05
  5. Step 5: Solve for x
    x = 197,098,033,195.05/509,675.52
  6. Step 6: Final answer
    x = 386,712.77

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