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Finding the Fourth Proportional to 465,491.70, 698,237.55 and 288,344.70

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Solution

The fourth proportional to 465,491.70, 698,237.55 and 288,344.70 is: 432,517.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,491.70 : 698,237.55 = 288,344.70 : x
  2. Step 2: Convert to fraction form
    465,491.70/698,237.55 = 288,344.70/x
  3. Step 3: Cross multiply
    465,491.70x = 698,237.55 × 288,344.70
  4. Step 4: Simplify right side
    465,491.70x = 201,333,096,883.49
  5. Step 5: Solve for x
    x = 201,333,096,883.49/465,491.70
  6. Step 6: Final answer
    x = 432,517.05

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Similar ratio
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1.5x scale

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.