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Finding the Fourth Proportional to 525,942.66, 725,801.10 and 284,225.16

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Solution

The fourth proportional to 525,942.66, 725,801.10 and 284,225.16 is: 392,230.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,942.66 : 725,801.10 = 284,225.16 : x
  2. Step 2: Convert to fraction form
    525,942.66/725,801.10 = 284,225.16/x
  3. Step 3: Cross multiply
    525,942.66x = 725,801.10 × 284,225.16
  4. Step 4: Simplify right side
    525,942.66x = 206,290,933,775.68
  5. Step 5: Solve for x
    x = 206,290,933,775.68/525,942.66
  6. Step 6: Final answer
    x = 392,230.84

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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.