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Finding the Fourth Proportional to 601,461.83, 830,017.31 and 329,540.04

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Solution

The fourth proportional to 601,461.83, 830,017.31 and 329,540.04 is: 454,765.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,461.83 : 830,017.31 = 329,540.04 : x
  2. Step 2: Convert to fraction form
    601,461.83/830,017.31 = 329,540.04/x
  3. Step 3: Cross multiply
    601,461.83x = 830,017.31 × 329,540.04
  4. Step 4: Simplify right side
    601,461.83x = 273,523,935,890.39
  5. Step 5: Solve for x
    x = 273,523,935,890.39/601,461.83
  6. Step 6: Final answer
    x = 454,765.24

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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.