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Finding the Fourth Proportional to 369,579.38, 509,836.14 and 238,712.00

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Solution

The fourth proportional to 369,579.38, 509,836.14 and 238,712.00 is: 329,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,579.38 : 509,836.14 = 238,712.00 : x
  2. Step 2: Convert to fraction form
    369,579.38/509,836.14 = 238,712.00/x
  3. Step 3: Cross multiply
    369,579.38x = 509,836.14 × 238,712.00
  4. Step 4: Simplify right side
    369,579.38x = 121,704,002,102.50
  5. Step 5: Solve for x
    x = 121,704,002,102.50/369,579.38
  6. Step 6: Final answer
    x = 329,304.10

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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.