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Finding the Fourth Proportional to 402,671.58, 604,080.27 and 165,882.66

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Solution

The fourth proportional to 402,671.58, 604,080.27 and 165,882.66 is: 248,854.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,671.58 : 604,080.27 = 165,882.66 : x
  2. Step 2: Convert to fraction form
    402,671.58/604,080.27 = 165,882.66/x
  3. Step 3: Cross multiply
    402,671.58x = 604,080.27 × 165,882.66
  4. Step 4: Simplify right side
    402,671.58x = 100,206,442,041.12
  5. Step 5: Solve for x
    x = 100,206,442,041.12/402,671.58
  6. Step 6: Final answer
    x = 248,854.02

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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.