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Finding the Fourth Proportional to 678,184.64, 935,785.44 and 391,659.20

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Solution

The fourth proportional to 678,184.64, 935,785.44 and 391,659.20 is: 540,426.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,184.64 : 935,785.44 = 391,659.20 : x
  2. Step 2: Convert to fraction form
    678,184.64/935,785.44 = 391,659.20/x
  3. Step 3: Cross multiply
    678,184.64x = 935,785.44 × 391,659.20
  4. Step 4: Simplify right side
    678,184.64x = 366,508,976,802.05
  5. Step 5: Solve for x
    x = 366,508,976,802.05/678,184.64
  6. Step 6: Final answer
    x = 540,426.54

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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.