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Finding the Fourth Proportional to 381,201.60, 571,802.40 and 171,249.60

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Solution

The fourth proportional to 381,201.60, 571,802.40 and 171,249.60 is: 256,874.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,201.60 : 571,802.40 = 171,249.60 : x
  2. Step 2: Convert to fraction form
    381,201.60/571,802.40 = 171,249.60/x
  3. Step 3: Cross multiply
    381,201.60x = 571,802.40 × 171,249.60
  4. Step 4: Simplify right side
    381,201.60x = 97,920,932,279.04
  5. Step 5: Solve for x
    x = 97,920,932,279.04/381,201.60
  6. Step 6: Final answer
    x = 256,874.40

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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.