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Finding the Fourth Proportional to 412,875.40, 619,331.10 and 113,348.20

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Solution

The fourth proportional to 412,875.40, 619,331.10 and 113,348.20 is: 170,027.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,875.40 : 619,331.10 = 113,348.20 : x
  2. Step 2: Convert to fraction form
    412,875.40/619,331.10 = 113,348.20/x
  3. Step 3: Cross multiply
    412,875.40x = 619,331.10 × 113,348.20
  4. Step 4: Simplify right side
    412,875.40x = 70,200,065,389.02
  5. Step 5: Solve for x
    x = 70,200,065,389.02/412,875.40
  6. Step 6: Final answer
    x = 170,027.24

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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.