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Finding the Fourth Proportional to 361,419.30, 541,610.55 and 265,904.10

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Solution

The fourth proportional to 361,419.30, 541,610.55 and 265,904.10 is: 398,474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,419.30 : 541,610.55 = 265,904.10 : x
  2. Step 2: Convert to fraction form
    361,419.30/541,610.55 = 265,904.10/x
  3. Step 3: Cross multiply
    361,419.30x = 541,610.55 × 265,904.10
  4. Step 4: Simplify right side
    361,419.30x = 144,016,465,848.26
  5. Step 5: Solve for x
    x = 144,016,465,848.26/361,419.30
  6. Step 6: Final answer
    x = 398,474.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.