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Finding the Fourth Proportional to 431,657.98, 595,695.47 and 238,087.82

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Solution

The fourth proportional to 431,657.98, 595,695.47 and 238,087.82 is: 328,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,657.98 : 595,695.47 = 238,087.82 : x
  2. Step 2: Convert to fraction form
    431,657.98/595,695.47 = 238,087.82/x
  3. Step 3: Cross multiply
    431,657.98x = 595,695.47 × 238,087.82
  4. Step 4: Simplify right side
    431,657.98x = 141,827,836,134.98
  5. Step 5: Solve for x
    x = 141,827,836,134.98/431,657.98
  6. Step 6: Final answer
    x = 328,565.31

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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.