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Finding the Fourth Proportional to 576,205.60, 863,206.80 and 309,877.60

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Solution

The fourth proportional to 576,205.60, 863,206.80 and 309,877.60 is: 464,223.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,205.60 : 863,206.80 = 309,877.60 : x
  2. Step 2: Convert to fraction form
    576,205.60/863,206.80 = 309,877.60/x
  3. Step 3: Cross multiply
    576,205.60x = 863,206.80 × 309,877.60
  4. Step 4: Simplify right side
    576,205.60x = 267,488,451,487.68
  5. Step 5: Solve for x
    x = 267,488,451,487.68/576,205.60
  6. Step 6: Final answer
    x = 464,223.97

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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.