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Finding the Fourth Proportional to 491,101.20, 736,651.80 and 412,304.40

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Solution

The fourth proportional to 491,101.20, 736,651.80 and 412,304.40 is: 618,456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,101.20 : 736,651.80 = 412,304.40 : x
  2. Step 2: Convert to fraction form
    491,101.20/736,651.80 = 412,304.40/x
  3. Step 3: Cross multiply
    491,101.20x = 736,651.80 × 412,304.40
  4. Step 4: Simplify right side
    491,101.20x = 303,724,778,407.92
  5. Step 5: Solve for x
    x = 303,724,778,407.92/491,101.20
  6. Step 6: Final answer
    x = 618,456.60

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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.