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Finding the Fourth Proportional to 295,491.40, 442,977.90 and 177,209.80

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Solution

The fourth proportional to 295,491.40, 442,977.90 and 177,209.80 is: 265,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,491.40 : 442,977.90 = 177,209.80 : x
  2. Step 2: Convert to fraction form
    295,491.40/442,977.90 = 177,209.80/x
  3. Step 3: Cross multiply
    295,491.40x = 442,977.90 × 177,209.80
  4. Step 4: Simplify right side
    295,491.40x = 78,500,025,063.42
  5. Step 5: Solve for x
    x = 78,500,025,063.42/295,491.40
  6. Step 6: Final answer
    x = 265,659.25

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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.