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Finding the Fourth Proportional to 491,105.20, 736,657.80 and 412,308.40

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Solution

The fourth proportional to 491,105.20, 736,657.80 and 412,308.40 is: 618,462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,105.20 : 736,657.80 = 412,308.40 : x
  2. Step 2: Convert to fraction form
    491,105.20/736,657.80 = 412,308.40/x
  3. Step 3: Cross multiply
    491,105.20x = 736,657.80 × 412,308.40
  4. Step 4: Simplify right side
    491,105.20x = 303,730,198,865.52
  5. Step 5: Solve for x
    x = 303,730,198,865.52/491,105.20
  6. Step 6: Final answer
    x = 618,462.60

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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.