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Finding the Fourth Proportional to 526,282.49, 726,270.35 and 284,565.00

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Solution

The fourth proportional to 526,282.49, 726,270.35 and 284,565.00 is: 392,699.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,282.49 : 726,270.35 = 284,565.00 : x
  2. Step 2: Convert to fraction form
    526,282.49/726,270.35 = 284,565.00/x
  3. Step 3: Cross multiply
    526,282.49x = 726,270.35 × 284,565.00
  4. Step 4: Simplify right side
    526,282.49x = 206,671,119,620.66
  5. Step 5: Solve for x
    x = 206,671,119,620.66/526,282.49
  6. Step 6: Final answer
    x = 392,699.97

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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.