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Finding the Fourth Proportional to 525,687.30, 725,449.13 and 283,969.88

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Solution

The fourth proportional to 525,687.30, 725,449.13 and 283,969.88 is: 391,878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,687.30 : 725,449.13 = 283,969.88 : x
  2. Step 2: Convert to fraction form
    525,687.30/725,449.13 = 283,969.88/x
  3. Step 3: Cross multiply
    525,687.30x = 725,449.13 × 283,969.88
  4. Step 4: Simplify right side
    525,687.30x = 206,005,697,345.11
  5. Step 5: Solve for x
    x = 206,005,697,345.11/525,687.30
  6. Step 6: Final answer
    x = 391,878.78

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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.