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Finding the Fourth Proportional to 295,206.80, 442,810.20 and 177,011.60

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Solution

The fourth proportional to 295,206.80, 442,810.20 and 177,011.60 is: 265,517.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,206.80 : 442,810.20 = 177,011.60 : x
  2. Step 2: Convert to fraction form
    295,206.80/442,810.20 = 177,011.60/x
  3. Step 3: Cross multiply
    295,206.80x = 442,810.20 × 177,011.60
  4. Step 4: Simplify right side
    295,206.80x = 78,382,541,998.32
  5. Step 5: Solve for x
    x = 78,382,541,998.32/295,206.80
  6. Step 6: Final answer
    x = 265,517.40

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1.5x scale

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.