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Finding the Fourth Proportional to 490,195.60, 735,293.40 and 431,146.60

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Solution

The fourth proportional to 490,195.60, 735,293.40 and 431,146.60 is: 646,719.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,195.60 : 735,293.40 = 431,146.60 : x
  2. Step 2: Convert to fraction form
    490,195.60/735,293.40 = 431,146.60/x
  3. Step 3: Cross multiply
    490,195.60x = 735,293.40 × 431,146.60
  4. Step 4: Simplify right side
    490,195.60x = 317,019,249,412.44
  5. Step 5: Solve for x
    x = 317,019,249,412.44/490,195.60
  6. Step 6: Final answer
    x = 646,719.90

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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.