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Finding the Fourth Proportional to 601,106.31, 829,527.13 and 329,174.28

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Solution

The fourth proportional to 601,106.31, 829,527.13 and 329,174.28 is: 454,260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,106.31 : 829,527.13 = 329,174.28 : x
  2. Step 2: Convert to fraction form
    601,106.31/829,527.13 = 329,174.28/x
  3. Step 3: Cross multiply
    601,106.31x = 829,527.13 × 329,174.28
  4. Step 4: Simplify right side
    601,106.31x = 273,058,995,758.22
  5. Step 5: Solve for x
    x = 273,058,995,758.22/601,106.31
  6. Step 6: Final answer
    x = 454,260.74

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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.