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Finding the Fourth Proportional to 526,086.65, 725,999.42 and 284,369.09

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Solution

The fourth proportional to 526,086.65, 725,999.42 and 284,369.09 is: 392,429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,086.65 : 725,999.42 = 284,369.09 : x
  2. Step 2: Convert to fraction form
    526,086.65/725,999.42 = 284,369.09/x
  3. Step 3: Cross multiply
    526,086.65x = 725,999.42 × 284,369.09
  4. Step 4: Simplify right side
    526,086.65x = 206,451,791,486.85
  5. Step 5: Solve for x
    x = 206,451,791,486.85/526,086.65
  6. Step 6: Final answer
    x = 392,429.25

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1.5x scale

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.