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Finding the Fourth Proportional to 465,614.40, 698,486.40 and 185,066.40

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Solution

The fourth proportional to 465,614.40, 698,486.40 and 185,066.40 is: 277,625.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,614.40 : 698,486.40 = 185,066.40 : x
  2. Step 2: Convert to fraction form
    465,614.40/698,486.40 = 185,066.40/x
  3. Step 3: Cross multiply
    465,614.40x = 698,486.40 × 185,066.40
  4. Step 4: Simplify right side
    465,614.40x = 129,266,363,496.96
  5. Step 5: Solve for x
    x = 129,266,363,496.96/465,614.40
  6. Step 6: Final answer
    x = 277,625.36

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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.