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Finding the Fourth Proportional to 360,816.72, 497,922.15 and 199,661.95

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Solution

The fourth proportional to 360,816.72, 497,922.15 and 199,661.95 is: 275,530.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,816.72 : 497,922.15 = 199,661.95 : x
  2. Step 2: Convert to fraction form
    360,816.72/497,922.15 = 199,661.95/x
  3. Step 3: Cross multiply
    360,816.72x = 497,922.15 × 199,661.95
  4. Step 4: Simplify right side
    360,816.72x = 99,416,107,417.19
  5. Step 5: Solve for x
    x = 99,416,107,417.19/360,816.72
  6. Step 6: Final answer
    x = 275,530.77

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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.