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Finding the Fourth Proportional to 381,662.40, 572,032.80 and 194,577.60

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Solution

The fourth proportional to 381,662.40, 572,032.80 and 194,577.60 is: 291,631.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,662.40 : 572,032.80 = 194,577.60 : x
  2. Step 2: Convert to fraction form
    381,662.40/572,032.80 = 194,577.60/x
  3. Step 3: Cross multiply
    381,662.40x = 572,032.80 × 194,577.60
  4. Step 4: Simplify right side
    381,662.40x = 111,304,769,345.28
  5. Step 5: Solve for x
    x = 111,304,769,345.28/381,662.40
  6. Step 6: Final answer
    x = 291,631.48

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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.