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Finding the Fourth Proportional to 322,713.84, 445,337.28 and 175,534.92

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Solution

The fourth proportional to 322,713.84, 445,337.28 and 175,534.92 is: 242,233.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,713.84 : 445,337.28 = 175,534.92 : x
  2. Step 2: Convert to fraction form
    322,713.84/445,337.28 = 175,534.92/x
  3. Step 3: Cross multiply
    322,713.84x = 445,337.28 × 175,534.92
  4. Step 4: Simplify right side
    322,713.84x = 78,172,243,817.82
  5. Step 5: Solve for x
    x = 78,172,243,817.82/322,713.84
  6. Step 6: Final answer
    x = 242,233.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.