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Finding the Fourth Proportional to 360,446.86, 497,395.38 and 199,289.26

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Solution

The fourth proportional to 360,446.86, 497,395.38 and 199,289.26 is: 275,007.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,446.86 : 497,395.38 = 199,289.26 : x
  2. Step 2: Convert to fraction form
    360,446.86/497,395.38 = 199,289.26/x
  3. Step 3: Cross multiply
    360,446.86x = 497,395.38 × 199,289.26
  4. Step 4: Simplify right side
    360,446.86x = 99,125,557,207.62
  5. Step 5: Solve for x
    x = 99,125,557,207.62/360,446.86
  6. Step 6: Final answer
    x = 275,007.41

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1.5x scale

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.