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Finding the Fourth Proportional to 412,411.20, 618,616.80 and 202,459.20

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Solution

The fourth proportional to 412,411.20, 618,616.80 and 202,459.20 is: 303,688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,411.20 : 618,616.80 = 202,459.20 : x
  2. Step 2: Convert to fraction form
    412,411.20/618,616.80 = 202,459.20/x
  3. Step 3: Cross multiply
    412,411.20x = 618,616.80 × 202,459.20
  4. Step 4: Simplify right side
    412,411.20x = 125,244,662,434.56
  5. Step 5: Solve for x
    x = 125,244,662,434.56/412,411.20
  6. Step 6: Final answer
    x = 303,688.80

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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.