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Finding the Fourth Proportional to 465,689.04, 698,233.04 and 222,398.40

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Solution

The fourth proportional to 465,689.04, 698,233.04 and 222,398.40 is: 333,454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,689.04 : 698,233.04 = 222,398.40 : x
  2. Step 2: Convert to fraction form
    465,689.04/698,233.04 = 222,398.40/x
  3. Step 3: Cross multiply
    465,689.04x = 698,233.04 × 222,398.40
  4. Step 4: Simplify right side
    465,689.04x = 155,285,910,923.14
  5. Step 5: Solve for x
    x = 155,285,910,923.14/465,689.04
  6. Step 6: Final answer
    x = 333,454.08

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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.