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Finding the Fourth Proportional to 412,883.40, 619,343.10 and 113,356.20

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Solution

The fourth proportional to 412,883.40, 619,343.10 and 113,356.20 is: 170,039.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,883.40 : 619,343.10 = 113,356.20 : x
  2. Step 2: Convert to fraction form
    412,883.40/619,343.10 = 113,356.20/x
  3. Step 3: Cross multiply
    412,883.40x = 619,343.10 × 113,356.20
  4. Step 4: Simplify right side
    412,883.40x = 70,206,380,312.22
  5. Step 5: Solve for x
    x = 70,206,380,312.22/412,883.40
  6. Step 6: Final answer
    x = 170,039.24

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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.