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Finding the Fourth Proportional to 509,371.65, 763,059.12 and 295,691.52

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Solution

The fourth proportional to 509,371.65, 763,059.12 and 295,691.52 is: 442,957.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,371.65 : 763,059.12 = 295,691.52 : x
  2. Step 2: Convert to fraction form
    509,371.65/763,059.12 = 295,691.52/x
  3. Step 3: Cross multiply
    509,371.65x = 763,059.12 × 295,691.52
  4. Step 4: Simplify right side
    509,371.65x = 225,630,111,042.66
  5. Step 5: Solve for x
    x = 225,630,111,042.66/509,371.65
  6. Step 6: Final answer
    x = 442,957.73

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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.