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Finding the Fourth Proportional to 417,296.16, 575,772.24 and 281,581.88

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Solution

The fourth proportional to 417,296.16, 575,772.24 and 281,581.88 is: 388,517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,296.16 : 575,772.24 = 281,581.88 : x
  2. Step 2: Convert to fraction form
    417,296.16/575,772.24 = 281,581.88/x
  3. Step 3: Cross multiply
    417,296.16x = 575,772.24 × 281,581.88
  4. Step 4: Simplify right side
    417,296.16x = 162,127,026,912.15
  5. Step 5: Solve for x
    x = 162,127,026,912.15/417,296.16
  6. Step 6: Final answer
    x = 388,517.90

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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.