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Finding the Fourth Proportional to 601,461.09, 830,016.27 and 329,539.29

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Solution

The fourth proportional to 601,461.09, 830,016.27 and 329,539.29 is: 454,764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,461.09 : 830,016.27 = 329,539.29 : x
  2. Step 2: Convert to fraction form
    601,461.09/830,016.27 = 329,539.29/x
  3. Step 3: Cross multiply
    601,461.09x = 830,016.27 × 329,539.29
  4. Step 4: Simplify right side
    601,461.09x = 273,522,972,304.25
  5. Step 5: Solve for x
    x = 273,522,972,304.25/601,461.09
  6. Step 6: Final answer
    x = 454,764.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.