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Finding the Fourth Proportional to 431,586.57, 595,575.82 and 238,002.45

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Solution

The fourth proportional to 431,586.57, 595,575.82 and 238,002.45 is: 328,435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,586.57 : 595,575.82 = 238,002.45 : x
  2. Step 2: Convert to fraction form
    431,586.57/595,575.82 = 238,002.45/x
  3. Step 3: Cross multiply
    431,586.57x = 595,575.82 × 238,002.45
  4. Step 4: Simplify right side
    431,586.57x = 141,748,501,464.05
  5. Step 5: Solve for x
    x = 141,748,501,464.05/431,586.57
  6. Step 6: Final answer
    x = 328,435.85

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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.