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Finding the Fourth Proportional to 378,565.12, 567,957.64 and 122,392.22

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Solution

The fourth proportional to 378,565.12, 567,957.64 and 122,392.22 is: 183,623.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,565.12 : 567,957.64 = 122,392.22 : x
  2. Step 2: Convert to fraction form
    378,565.12/567,957.64 = 122,392.22/x
  3. Step 3: Cross multiply
    378,565.12x = 567,957.64 × 122,392.22
  4. Step 4: Simplify right side
    378,565.12x = 69,513,597,785.08
  5. Step 5: Solve for x
    x = 69,513,597,785.08/378,565.12
  6. Step 6: Final answer
    x = 183,623.88

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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.