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Finding the Fourth Proportional to 270,856.80, 406,285.20 and 176,378.40

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Solution

The fourth proportional to 270,856.80, 406,285.20 and 176,378.40 is: 264,567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,856.80 : 406,285.20 = 176,378.40 : x
  2. Step 2: Convert to fraction form
    270,856.80/406,285.20 = 176,378.40/x
  3. Step 3: Cross multiply
    270,856.80x = 406,285.20 × 176,378.40
  4. Step 4: Simplify right side
    270,856.80x = 71,659,933,519.68
  5. Step 5: Solve for x
    x = 71,659,933,519.68/270,856.80
  6. Step 6: Final answer
    x = 264,567.60

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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.