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Finding the Fourth Proportional to 295,999.32, 408,206.48 and 193,987.61

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Solution

The fourth proportional to 295,999.32, 408,206.48 and 193,987.61 is: 267,524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,999.32 : 408,206.48 = 193,987.61 : x
  2. Step 2: Convert to fraction form
    295,999.32/408,206.48 = 193,987.61/x
  3. Step 3: Cross multiply
    295,999.32x = 408,206.48 × 193,987.61
  4. Step 4: Simplify right side
    295,999.32x = 79,186,999,441.71
  5. Step 5: Solve for x
    x = 79,186,999,441.71/295,999.32
  6. Step 6: Final answer
    x = 267,524.27

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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.