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Finding the Fourth Proportional to 381,678.40, 572,517.60 and 241,595.20

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Solution

The fourth proportional to 381,678.40, 572,517.60 and 241,595.20 is: 362,392.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,678.40 : 572,517.60 = 241,595.20 : x
  2. Step 2: Convert to fraction form
    381,678.40/572,517.60 = 241,595.20/x
  3. Step 3: Cross multiply
    381,678.40x = 572,517.60 × 241,595.20
  4. Step 4: Simplify right side
    381,678.40x = 138,317,504,075.52
  5. Step 5: Solve for x
    x = 138,317,504,075.52/381,678.40
  6. Step 6: Final answer
    x = 362,392.80

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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.