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Finding the Fourth Proportional to 431,650.40, 595,713.06 and 238,096.04

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Solution

The fourth proportional to 431,650.40, 595,713.06 and 238,096.04 is: 328,592.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,650.40 : 595,713.06 = 238,096.04 : x
  2. Step 2: Convert to fraction form
    431,650.40/595,713.06 = 238,096.04/x
  3. Step 3: Cross multiply
    431,650.40x = 595,713.06 × 238,096.04
  4. Step 4: Simplify right side
    431,650.40x = 141,836,917,583.72
  5. Step 5: Solve for x
    x = 141,836,917,583.72/431,650.40
  6. Step 6: Final answer
    x = 328,592.12

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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.