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Finding the Fourth Proportional to 465,193.40, 698,446.20 and 288,046.40

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Solution

The fourth proportional to 465,193.40, 698,446.20 and 288,046.40 is: 432,475.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,193.40 : 698,446.20 = 288,046.40 : x
  2. Step 2: Convert to fraction form
    465,193.40/698,446.20 = 288,046.40/x
  3. Step 3: Cross multiply
    465,193.40x = 698,446.20 × 288,046.40
  4. Step 4: Simplify right side
    465,193.40x = 201,184,913,503.68
  5. Step 5: Solve for x
    x = 201,184,913,503.68/465,193.40
  6. Step 6: Final answer
    x = 432,475.86

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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.