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Finding the Fourth Proportional to 295,500.40, 442,991.40 and 177,218.80

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Solution

The fourth proportional to 295,500.40, 442,991.40 and 177,218.80 is: 265,672.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,500.40 : 442,991.40 = 177,218.80 : x
  2. Step 2: Convert to fraction form
    295,500.40/442,991.40 = 177,218.80/x
  3. Step 3: Cross multiply
    295,500.40x = 442,991.40 × 177,218.80
  4. Step 4: Simplify right side
    295,500.40x = 78,506,404,318.32
  5. Step 5: Solve for x
    x = 78,506,404,318.32/295,500.40
  6. Step 6: Final answer
    x = 265,672.75

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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.