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Finding the Fourth Proportional to 412,970.04, 619,380.99 and 109,366.11

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Solution

The fourth proportional to 412,970.04, 619,380.99 and 109,366.11 is: 164,029.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,970.04 : 619,380.99 = 109,366.11 : x
  2. Step 2: Convert to fraction form
    412,970.04/619,380.99 = 109,366.11/x
  3. Step 3: Cross multiply
    412,970.04x = 619,380.99 × 109,366.11
  4. Step 4: Simplify right side
    412,970.04x = 67,739,289,484.25
  5. Step 5: Solve for x
    x = 67,739,289,484.25/412,970.04
  6. Step 6: Final answer
    x = 164,029.55

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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.