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Finding the Fourth Proportional to 526,554.30, 726,644.10 and 284,836.12

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Solution

The fourth proportional to 526,554.30, 726,644.10 and 284,836.12 is: 393,073.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,554.30 : 726,644.10 = 284,836.12 : x
  2. Step 2: Convert to fraction form
    526,554.30/726,644.10 = 284,836.12/x
  3. Step 3: Cross multiply
    526,554.30x = 726,644.10 × 284,836.12
  4. Step 4: Simplify right side
    526,554.30x = 206,974,486,064.89
  5. Step 5: Solve for x
    x = 206,974,486,064.89/526,554.30
  6. Step 6: Final answer
    x = 393,073.39

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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.