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Finding the Fourth Proportional to 474,770.96, 712,154.24 and 194,288.24

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Solution

The fourth proportional to 474,770.96, 712,154.24 and 194,288.24 is: 291,431.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,770.96 : 712,154.24 = 194,288.24 : x
  2. Step 2: Convert to fraction form
    474,770.96/712,154.24 = 194,288.24/x
  3. Step 3: Cross multiply
    474,770.96x = 712,154.24 × 194,288.24
  4. Step 4: Simplify right side
    474,770.96x = 138,363,193,898.14
  5. Step 5: Solve for x
    x = 138,363,193,898.14/474,770.96
  6. Step 6: Final answer
    x = 291,431.46

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Similar ratio
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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.