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Finding the Fourth Proportional to 601,274.51, 829,758.65 and 329,359.34

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Solution

The fourth proportional to 601,274.51, 829,758.65 and 329,359.34 is: 454,515.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,274.51 : 829,758.65 = 329,359.34 : x
  2. Step 2: Convert to fraction form
    601,274.51/829,758.65 = 329,359.34/x
  3. Step 3: Cross multiply
    601,274.51x = 829,758.65 × 329,359.34
  4. Step 4: Simplify right side
    601,274.51x = 273,288,755,527.70
  5. Step 5: Solve for x
    x = 273,288,755,527.70/601,274.51
  6. Step 6: Final answer
    x = 454,515.78

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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.