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Finding the Fourth Proportional to 657,971.40, 986,352.30 and 657,568.20

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Solution

The fourth proportional to 657,971.40, 986,352.30 and 657,568.20 is: 985,747.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,971.40 : 986,352.30 = 657,568.20 : x
  2. Step 2: Convert to fraction form
    657,971.40/986,352.30 = 657,568.20/x
  3. Step 3: Cross multiply
    657,971.40x = 986,352.30 × 657,568.20
  4. Step 4: Simplify right side
    657,971.40x = 648,593,906,476.86
  5. Step 5: Solve for x
    x = 648,593,906,476.86/657,971.40
  6. Step 6: Final answer
    x = 985,747.87

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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.