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Finding the Fourth Proportional to 412,228.80, 618,343.20 and 201,758.40

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Solution

The fourth proportional to 412,228.80, 618,343.20 and 201,758.40 is: 302,637.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,228.80 : 618,343.20 = 201,758.40 : x
  2. Step 2: Convert to fraction form
    412,228.80/618,343.20 = 201,758.40/x
  3. Step 3: Cross multiply
    412,228.80x = 618,343.20 × 201,758.40
  4. Step 4: Simplify right side
    412,228.80x = 124,755,934,682.88
  5. Step 5: Solve for x
    x = 124,755,934,682.88/412,228.80
  6. Step 6: Final answer
    x = 302,637.60

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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.