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Finding the Fourth Proportional to 576,385.60, 863,476.80 and 310,057.60

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Solution

The fourth proportional to 576,385.60, 863,476.80 and 310,057.60 is: 464,493.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,385.60 : 863,476.80 = 310,057.60 : x
  2. Step 2: Convert to fraction form
    576,385.60/863,476.80 = 310,057.60/x
  3. Step 3: Cross multiply
    576,385.60x = 863,476.80 × 310,057.60
  4. Step 4: Simplify right side
    576,385.60x = 267,727,544,263.68
  5. Step 5: Solve for x
    x = 267,727,544,263.68/576,385.60
  6. Step 6: Final answer
    x = 464,493.81

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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.