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Finding the Fourth Proportional to 601,646.52, 830,236.14 and 329,660.28

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Solution

The fourth proportional to 601,646.52, 830,236.14 and 329,660.28 is: 454,911.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,646.52 : 830,236.14 = 329,660.28 : x
  2. Step 2: Convert to fraction form
    601,646.52/830,236.14 = 329,660.28/x
  3. Step 3: Cross multiply
    601,646.52x = 830,236.14 × 329,660.28
  4. Step 4: Simplify right side
    601,646.52x = 273,695,878,378.52
  5. Step 5: Solve for x
    x = 273,695,878,378.52/601,646.52
  6. Step 6: Final answer
    x = 454,911.43

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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.