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Finding the Fourth Proportional to 412,908.90, 619,363.35 and 349,923.30

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Solution

The fourth proportional to 412,908.90, 619,363.35 and 349,923.30 is: 524,884.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,908.90 : 619,363.35 = 349,923.30 : x
  2. Step 2: Convert to fraction form
    412,908.90/619,363.35 = 349,923.30/x
  3. Step 3: Cross multiply
    412,908.90x = 619,363.35 × 349,923.30
  4. Step 4: Simplify right side
    412,908.90x = 216,729,667,331.06
  5. Step 5: Solve for x
    x = 216,729,667,331.06/412,908.90
  6. Step 6: Final answer
    x = 524,884.95

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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.