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Finding the Fourth Proportional to 492,057.76, 738,306.48 and 239,199.52

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Solution

The fourth proportional to 492,057.76, 738,306.48 and 239,199.52 is: 358,906.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,057.76 : 738,306.48 = 239,199.52 : x
  2. Step 2: Convert to fraction form
    492,057.76/738,306.48 = 239,199.52/x
  3. Step 3: Cross multiply
    492,057.76x = 738,306.48 × 239,199.52
  4. Step 4: Simplify right side
    492,057.76x = 176,602,555,628.89
  5. Step 5: Solve for x
    x = 176,602,555,628.89/492,057.76
  6. Step 6: Final answer
    x = 358,906.15

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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.