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Finding the Fourth Proportional to 465,196.40, 698,450.70 and 288,049.40

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Solution

The fourth proportional to 465,196.40, 698,450.70 and 288,049.40 is: 432,480.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,196.40 : 698,450.70 = 288,049.40 : x
  2. Step 2: Convert to fraction form
    465,196.40/698,450.70 = 288,049.40/x
  3. Step 3: Cross multiply
    465,196.40x = 698,450.70 × 288,049.40
  4. Step 4: Simplify right side
    465,196.40x = 201,188,305,064.58
  5. Step 5: Solve for x
    x = 201,188,305,064.58/465,196.40
  6. Step 6: Final answer
    x = 432,480.36

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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.