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Finding the Fourth Proportional to 525,882.19, 725,717.40 and 284,164.75

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Solution

The fourth proportional to 525,882.19, 725,717.40 and 284,164.75 is: 392,147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,882.19 : 725,717.40 = 284,164.75 : x
  2. Step 2: Convert to fraction form
    525,882.19/725,717.40 = 284,164.75/x
  3. Step 3: Cross multiply
    525,882.19x = 725,717.40 × 284,164.75
  4. Step 4: Simplify right side
    525,882.19x = 206,223,302,120.83
  5. Step 5: Solve for x
    x = 206,223,302,120.83/525,882.19
  6. Step 6: Final answer
    x = 392,147.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.