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Finding the Fourth Proportional to 360,904.14, 497,978.55 and 199,751.58

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Solution

The fourth proportional to 360,904.14, 497,978.55 and 199,751.58 is: 275,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,904.14 : 497,978.55 = 199,751.58 : x
  2. Step 2: Convert to fraction form
    360,904.14/497,978.55 = 199,751.58/x
  3. Step 3: Cross multiply
    360,904.14x = 497,978.55 × 199,751.58
  4. Step 4: Simplify right side
    360,904.14x = 99,472,002,168.61
  5. Step 5: Solve for x
    x = 99,472,002,168.61/360,904.14
  6. Step 6: Final answer
    x = 275,618.90

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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.