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Finding the Fourth Proportional to 465,616.40, 698,489.40 and 185,068.40

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Solution

The fourth proportional to 465,616.40, 698,489.40 and 185,068.40 is: 277,628.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,616.40 : 698,489.40 = 185,068.40 : x
  2. Step 2: Convert to fraction form
    465,616.40/698,489.40 = 185,068.40/x
  3. Step 3: Cross multiply
    465,616.40x = 698,489.40 × 185,068.40
  4. Step 4: Simplify right side
    465,616.40x = 129,268,315,674.96
  5. Step 5: Solve for x
    x = 129,268,315,674.96/465,616.40
  6. Step 6: Final answer
    x = 277,628.36

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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.