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Finding the Fourth Proportional to 295,311.20, 407,387.76 and 193,291.76

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Solution

The fourth proportional to 295,311.20, 407,387.76 and 193,291.76 is: 266,649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,311.20 : 407,387.76 = 193,291.76 : x
  2. Step 2: Convert to fraction form
    295,311.20/407,387.76 = 193,291.76/x
  3. Step 3: Cross multiply
    295,311.20x = 407,387.76 × 193,291.76
  4. Step 4: Simplify right side
    295,311.20x = 78,744,697,132.86
  5. Step 5: Solve for x
    x = 78,744,697,132.86/295,311.20
  6. Step 6: Final answer
    x = 266,649.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.