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Finding the Fourth Proportional to 381,686.40, 572,529.60 and 195,062.40

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Solution

The fourth proportional to 381,686.40, 572,529.60 and 195,062.40 is: 292,593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,686.40 : 572,529.60 = 195,062.40 : x
  2. Step 2: Convert to fraction form
    381,686.40/572,529.60 = 195,062.40/x
  3. Step 3: Cross multiply
    381,686.40x = 572,529.60 × 195,062.40
  4. Step 4: Simplify right side
    381,686.40x = 111,678,997,847.04
  5. Step 5: Solve for x
    x = 111,678,997,847.04/381,686.40
  6. Step 6: Final answer
    x = 292,593.60

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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.