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Finding the Fourth Proportional to 384,864.80, 576,422.40 and 197,657.60

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Solution

The fourth proportional to 384,864.80, 576,422.40 and 197,657.60 is: 296,037.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,864.80 : 576,422.40 = 197,657.60 : x
  2. Step 2: Convert to fraction form
    384,864.80/576,422.40 = 197,657.60/x
  3. Step 3: Cross multiply
    384,864.80x = 576,422.40 × 197,657.60
  4. Step 4: Simplify right side
    384,864.80x = 113,934,268,170.24
  5. Step 5: Solve for x
    x = 113,934,268,170.24/384,864.80
  6. Step 6: Final answer
    x = 296,037.12

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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.