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Finding the Fourth Proportional to 465,200.90, 698,457.45 and 288,053.90

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Solution

The fourth proportional to 465,200.90, 698,457.45 and 288,053.90 is: 432,487.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,200.90 : 698,457.45 = 288,053.90 : x
  2. Step 2: Convert to fraction form
    465,200.90/698,457.45 = 288,053.90/x
  3. Step 3: Cross multiply
    465,200.90x = 698,457.45 × 288,053.90
  4. Step 4: Simplify right side
    465,200.90x = 201,193,392,456.56
  5. Step 5: Solve for x
    x = 201,193,392,456.56/465,200.90
  6. Step 6: Final answer
    x = 432,487.11

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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.