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Finding the Fourth Proportional to 567,305.40, 850,958.10 and 465,828.60

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Solution

The fourth proportional to 567,305.40, 850,958.10 and 465,828.60 is: 698,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,305.40 : 850,958.10 = 465,828.60 : x
  2. Step 2: Convert to fraction form
    567,305.40/850,958.10 = 465,828.60/x
  3. Step 3: Cross multiply
    567,305.40x = 850,958.10 × 465,828.60
  4. Step 4: Simplify right side
    567,305.40x = 396,400,620,381.66
  5. Step 5: Solve for x
    x = 396,400,620,381.66/567,305.40
  6. Step 6: Final answer
    x = 698,742.90

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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.