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Finding the Fourth Proportional to 431,742.92, 595,809.10 and 238,158.04

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Solution

The fourth proportional to 431,742.92, 595,809.10 and 238,158.04 is: 328,660.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,742.92 : 595,809.10 = 238,158.04 : x
  2. Step 2: Convert to fraction form
    431,742.92/595,809.10 = 238,158.04/x
  3. Step 3: Cross multiply
    431,742.92x = 595,809.10 × 238,158.04
  4. Step 4: Simplify right side
    431,742.92x = 141,896,727,470.16
  5. Step 5: Solve for x
    x = 141,896,727,470.16/431,742.92
  6. Step 6: Final answer
    x = 328,660.23

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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.