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Finding the Fourth Proportional to 601,614.47, 830,228.74 and 329,692.31

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Solution

The fourth proportional to 601,614.47, 830,228.74 and 329,692.31 is: 454,975.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,614.47 : 830,228.74 = 329,692.31 : x
  2. Step 2: Convert to fraction form
    601,614.47/830,228.74 = 329,692.31/x
  3. Step 3: Cross multiply
    601,614.47x = 830,228.74 × 329,692.31
  4. Step 4: Simplify right side
    601,614.47x = 273,720,029,256.97
  5. Step 5: Solve for x
    x = 273,720,029,256.97/601,614.47
  6. Step 6: Final answer
    x = 454,975.81

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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.