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Finding the Fourth Proportional to 431,649.65, 595,712.03 and 238,095.29

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Solution

The fourth proportional to 431,649.65, 595,712.03 and 238,095.29 is: 328,591.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,649.65 : 595,712.03 = 238,095.29 : x
  2. Step 2: Convert to fraction form
    431,649.65/595,712.03 = 238,095.29/x
  3. Step 3: Cross multiply
    431,649.65x = 595,712.03 × 238,095.29
  4. Step 4: Simplify right side
    431,649.65x = 141,836,224,370.30
  5. Step 5: Solve for x
    x = 141,836,224,370.30/431,649.65
  6. Step 6: Final answer
    x = 328,591.08

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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.