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Finding the Fourth Proportional to 378,713.32, 567,972.54 and 112,410.76

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Solution

The fourth proportional to 378,713.32, 567,972.54 and 112,410.76 is: 168,587.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,713.32 : 567,972.54 = 112,410.76 : x
  2. Step 2: Convert to fraction form
    378,713.32/567,972.54 = 112,410.76/x
  3. Step 3: Cross multiply
    378,713.32x = 567,972.54 × 112,410.76
  4. Step 4: Simplify right side
    378,713.32x = 63,846,224,880.53
  5. Step 5: Solve for x
    x = 63,846,224,880.53/378,713.32
  6. Step 6: Final answer
    x = 168,587.22

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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.