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Finding the Fourth Proportional to 284,218.60, 426,327.90 and 199,431.40

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Solution

The fourth proportional to 284,218.60, 426,327.90 and 199,431.40 is: 299,147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,218.60 : 426,327.90 = 199,431.40 : x
  2. Step 2: Convert to fraction form
    284,218.60/426,327.90 = 199,431.40/x
  3. Step 3: Cross multiply
    284,218.60x = 426,327.90 × 199,431.40
  4. Step 4: Simplify right side
    284,218.60x = 85,023,169,956.06
  5. Step 5: Solve for x
    x = 85,023,169,956.06/284,218.60
  6. Step 6: Final answer
    x = 299,147.10

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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.