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Finding the Fourth Proportional to 419,938.61, 579,490.32 and 238,625.38

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Solution

The fourth proportional to 419,938.61, 579,490.32 and 238,625.38 is: 329,288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,938.61 : 579,490.32 = 238,625.38 : x
  2. Step 2: Convert to fraction form
    419,938.61/579,490.32 = 238,625.38/x
  3. Step 3: Cross multiply
    419,938.61x = 579,490.32 × 238,625.38
  4. Step 4: Simplify right side
    419,938.61x = 138,281,097,781.70
  5. Step 5: Solve for x
    x = 138,281,097,781.70/419,938.61
  6. Step 6: Final answer
    x = 329,288.84

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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.