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Finding the Fourth Proportional to 567,584.40, 851,765.40 and 314,864.40

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Solution

The fourth proportional to 567,584.40, 851,765.40 and 314,864.40 is: 472,512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,584.40 : 851,765.40 = 314,864.40 : x
  2. Step 2: Convert to fraction form
    567,584.40/851,765.40 = 314,864.40/x
  3. Step 3: Cross multiply
    567,584.40x = 851,765.40 × 314,864.40
  4. Step 4: Simplify right side
    567,584.40x = 268,190,601,611.76
  5. Step 5: Solve for x
    x = 268,190,601,611.76/567,584.40
  6. Step 6: Final answer
    x = 472,512.28

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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.