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Finding the Fourth Proportional to 509,180.97, 702,691.97 and 282,826.47

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Solution

The fourth proportional to 509,180.97, 702,691.97 and 282,826.47 is: 390,312.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,180.97 : 702,691.97 = 282,826.47 : x
  2. Step 2: Convert to fraction form
    509,180.97/702,691.97 = 282,826.47/x
  3. Step 3: Cross multiply
    509,180.97x = 702,691.97 × 282,826.47
  4. Step 4: Simplify right side
    509,180.97x = 198,739,889,372.45
  5. Step 5: Solve for x
    x = 198,739,889,372.45/509,180.97
  6. Step 6: Final answer
    x = 390,312.88

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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.