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Finding the Fourth Proportional to 656,143.20, 984,214.80 and 406,965.60

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Solution

The fourth proportional to 656,143.20, 984,214.80 and 406,965.60 is: 610,448.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,143.20 : 984,214.80 = 406,965.60 : x
  2. Step 2: Convert to fraction form
    656,143.20/984,214.80 = 406,965.60/x
  3. Step 3: Cross multiply
    656,143.20x = 984,214.80 × 406,965.60
  4. Step 4: Simplify right side
    656,143.20x = 400,541,566,610.88
  5. Step 5: Solve for x
    x = 400,541,566,610.88/656,143.20
  6. Step 6: Final answer
    x = 610,448.40

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Double scale
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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.