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Finding the Fourth Proportional to 412,874.09, 619,312.10 and 113,358.77

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Solution

The fourth proportional to 412,874.09, 619,312.10 and 113,358.77 is: 170,038.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,874.09 : 619,312.10 = 113,358.77 : x
  2. Step 2: Convert to fraction form
    412,874.09/619,312.10 = 113,358.77/x
  3. Step 3: Cross multiply
    412,874.09x = 619,312.10 × 113,358.77
  4. Step 4: Simplify right side
    412,874.09x = 70,204,454,238.76
  5. Step 5: Solve for x
    x = 70,204,454,238.76/412,874.09
  6. Step 6: Final answer
    x = 170,038.41

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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.