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Finding the Fourth Proportional to 412,017.13, 617,928.90 and 232,180.93

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Solution

The fourth proportional to 412,017.13, 617,928.90 and 232,180.93 is: 348,216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,017.13 : 617,928.90 = 232,180.93 : x
  2. Step 2: Convert to fraction form
    412,017.13/617,928.90 = 232,180.93/x
  3. Step 3: Cross multiply
    412,017.13x = 617,928.90 × 232,180.93
  4. Step 4: Simplify right side
    412,017.13x = 143,471,306,675.88
  5. Step 5: Solve for x
    x = 143,471,306,675.88/412,017.13
  6. Step 6: Final answer
    x = 348,216.85

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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.