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Finding the Fourth Proportional to 363,265.12, 545,057.52 and 185,918.32

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Solution

The fourth proportional to 363,265.12, 545,057.52 and 185,918.32 is: 278,959.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,265.12 : 545,057.52 = 185,918.32 : x
  2. Step 2: Convert to fraction form
    363,265.12/545,057.52 = 185,918.32/x
  3. Step 3: Cross multiply
    363,265.12x = 545,057.52 × 185,918.32
  4. Step 4: Simplify right side
    363,265.12x = 101,336,178,421.77
  5. Step 5: Solve for x
    x = 101,336,178,421.77/363,265.12
  6. Step 6: Final answer
    x = 278,959.29

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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.