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Finding the Fourth Proportional to 412,109.82, 618,253.50 and 127,794.65

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Solution

The fourth proportional to 412,109.82, 618,253.50 and 127,794.65 is: 191,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,109.82 : 618,253.50 = 127,794.65 : x
  2. Step 2: Convert to fraction form
    412,109.82/618,253.50 = 127,794.65/x
  3. Step 3: Cross multiply
    412,109.82x = 618,253.50 × 127,794.65
  4. Step 4: Simplify right side
    412,109.82x = 79,009,489,643.78
  5. Step 5: Solve for x
    x = 79,009,489,643.78/412,109.82
  6. Step 6: Final answer
    x = 191,719.50

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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.