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Finding the Fourth Proportional to 431,646.42, 595,650.12 and 238,087.80

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Solution

The fourth proportional to 431,646.42, 595,650.12 and 238,087.80 is: 328,549.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,646.42 : 595,650.12 = 238,087.80 : x
  2. Step 2: Convert to fraction form
    431,646.42/595,650.12 = 238,087.80/x
  3. Step 3: Cross multiply
    431,646.42x = 595,650.12 × 238,087.80
  4. Step 4: Simplify right side
    431,646.42x = 141,817,026,640.54
  5. Step 5: Solve for x
    x = 141,817,026,640.54/431,646.42
  6. Step 6: Final answer
    x = 328,549.06

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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.