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Finding the Fourth Proportional to 295,482.40, 442,964.40 and 177,200.80

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Solution

The fourth proportional to 295,482.40, 442,964.40 and 177,200.80 is: 265,645.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,482.40 : 442,964.40 = 177,200.80 : x
  2. Step 2: Convert to fraction form
    295,482.40/442,964.40 = 177,200.80/x
  3. Step 3: Cross multiply
    295,482.40x = 442,964.40 × 177,200.80
  4. Step 4: Simplify right side
    295,482.40x = 78,493,646,051.52
  5. Step 5: Solve for x
    x = 78,493,646,051.52/295,482.40
  6. Step 6: Final answer
    x = 265,645.76

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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.