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Finding the Fourth Proportional to 442,873.60, 664,310.40 and 431,209.60

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Solution

The fourth proportional to 442,873.60, 664,310.40 and 431,209.60 is: 646,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,873.60 : 664,310.40 = 431,209.60 : x
  2. Step 2: Convert to fraction form
    442,873.60/664,310.40 = 431,209.60/x
  3. Step 3: Cross multiply
    442,873.60x = 664,310.40 × 431,209.60
  4. Step 4: Simplify right side
    442,873.60x = 286,457,021,859.84
  5. Step 5: Solve for x
    x = 286,457,021,859.84/442,873.60
  6. Step 6: Final answer
    x = 646,814.40

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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.