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Finding the Fourth Proportional to 509,709.78, 703,402.11 and 280,281.74

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Solution

The fourth proportional to 509,709.78, 703,402.11 and 280,281.74 is: 386,790.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,709.78 : 703,402.11 = 280,281.74 : x
  2. Step 2: Convert to fraction form
    509,709.78/703,402.11 = 280,281.74/x
  3. Step 3: Cross multiply
    509,709.78x = 703,402.11 × 280,281.74
  4. Step 4: Simplify right side
    509,709.78x = 197,150,763,793.46
  5. Step 5: Solve for x
    x = 197,150,763,793.46/509,709.78
  6. Step 6: Final answer
    x = 386,790.23

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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.