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Finding the Fourth Proportional to 252,462, 378,695.88 and 65,462.16

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Solution

The fourth proportional to 252,462, 378,695.88 and 65,462.16 is: 98,193.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,462 : 378,695.88 = 65,462.16 : x
  2. Step 2: Convert to fraction form
    252,462/378,695.88 = 65,462.16/x
  3. Step 3: Cross multiply
    252,462x = 378,695.88 × 65,462.16
  4. Step 4: Simplify right side
    252,462x = 24,790,250,287.90
  5. Step 5: Solve for x
    x = 24,790,250,287.90/252,462
  6. Step 6: Final answer
    x = 98,193.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.