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Finding the Fourth Proportional to 381,577.60, 572,182.08 and 223,857.28

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Solution

The fourth proportional to 381,577.60, 572,182.08 and 223,857.28 is: 335,677.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,577.60 : 572,182.08 = 223,857.28 : x
  2. Step 2: Convert to fraction form
    381,577.60/572,182.08 = 223,857.28/x
  3. Step 3: Cross multiply
    381,577.60x = 572,182.08 × 223,857.28
  4. Step 4: Simplify right side
    381,577.60x = 128,087,124,093.54
  5. Step 5: Solve for x
    x = 128,087,124,093.54/381,577.60
  6. Step 6: Final answer
    x = 335,677.79

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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.