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Finding the Fourth Proportional to 384,177.60, 576,784.80 and 244,209.60

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Solution

The fourth proportional to 384,177.60, 576,784.80 and 244,209.60 is: 366,643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,177.60 : 576,784.80 = 244,209.60 : x
  2. Step 2: Convert to fraction form
    384,177.60/576,784.80 = 244,209.60/x
  3. Step 3: Cross multiply
    384,177.60x = 576,784.80 × 244,209.60
  4. Step 4: Simplify right side
    384,177.60x = 140,856,385,294.08
  5. Step 5: Solve for x
    x = 140,856,385,294.08/384,177.60
  6. Step 6: Final answer
    x = 366,643.93

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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.