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Finding the Fourth Proportional to 295,480.40, 442,961.40 and 177,198.80

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Solution

The fourth proportional to 295,480.40, 442,961.40 and 177,198.80 is: 265,642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,480.40 : 442,961.40 = 177,198.80 : x
  2. Step 2: Convert to fraction form
    295,480.40/442,961.40 = 177,198.80/x
  3. Step 3: Cross multiply
    295,480.40x = 442,961.40 × 177,198.80
  4. Step 4: Simplify right side
    295,480.40x = 78,492,228,526.32
  5. Step 5: Solve for x
    x = 78,492,228,526.32/295,480.40
  6. Step 6: Final answer
    x = 265,642.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.