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Finding the Fourth Proportional to 526,689.36, 726,826.12 and 284,966.63

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Solution

The fourth proportional to 526,689.36, 726,826.12 and 284,966.63 is: 393,251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,689.36 : 726,826.12 = 284,966.63 : x
  2. Step 2: Convert to fraction form
    526,689.36/726,826.12 = 284,966.63/x
  3. Step 3: Cross multiply
    526,689.36x = 726,826.12 × 284,966.63
  4. Step 4: Simplify right side
    526,689.36x = 207,121,190,012.38
  5. Step 5: Solve for x
    x = 207,121,190,012.38/526,689.36
  6. Step 6: Final answer
    x = 393,251.14

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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.