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Finding the Fourth Proportional to 360,442.38, 497,401.62 and 199,293.30

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Solution

The fourth proportional to 360,442.38, 497,401.62 and 199,293.30 is: 275,019.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,442.38 : 497,401.62 = 199,293.30 : x
  2. Step 2: Convert to fraction form
    360,442.38/497,401.62 = 199,293.30/x
  3. Step 3: Cross multiply
    360,442.38x = 497,401.62 × 199,293.30
  4. Step 4: Simplify right side
    360,442.38x = 99,128,810,275.15
  5. Step 5: Solve for x
    x = 99,128,810,275.15/360,442.38
  6. Step 6: Final answer
    x = 275,019.85

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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.