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Finding the Fourth Proportional to 601,422.82, 829,963.45 and 329,500.35

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Solution

The fourth proportional to 601,422.82, 829,963.45 and 329,500.35 is: 454,710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,422.82 : 829,963.45 = 329,500.35 : x
  2. Step 2: Convert to fraction form
    601,422.82/829,963.45 = 329,500.35/x
  3. Step 3: Cross multiply
    601,422.82x = 829,963.45 × 329,500.35
  4. Step 4: Simplify right side
    601,422.82x = 273,473,246,438.46
  5. Step 5: Solve for x
    x = 273,473,246,438.46/601,422.82
  6. Step 6: Final answer
    x = 454,710.46

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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.