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Finding the Fourth Proportional to 432,901.20, 649,351.80 and 196,705.20

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Solution

The fourth proportional to 432,901.20, 649,351.80 and 196,705.20 is: 295,057.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,901.20 : 649,351.80 = 196,705.20 : x
  2. Step 2: Convert to fraction form
    432,901.20/649,351.80 = 196,705.20/x
  3. Step 3: Cross multiply
    432,901.20x = 649,351.80 × 196,705.20
  4. Step 4: Simplify right side
    432,901.20x = 127,730,875,689.36
  5. Step 5: Solve for x
    x = 127,730,875,689.36/432,901.20
  6. Step 6: Final answer
    x = 295,057.80

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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.