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Finding the Fourth Proportional to 412,271.48, 617,162.34 and 372,847.16

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Solution

The fourth proportional to 412,271.48, 617,162.34 and 372,847.16 is: 558,144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,271.48 : 617,162.34 = 372,847.16 : x
  2. Step 2: Convert to fraction form
    412,271.48/617,162.34 = 372,847.16/x
  3. Step 3: Cross multiply
    412,271.48x = 617,162.34 × 372,847.16
  4. Step 4: Simplify right side
    412,271.48x = 230,107,225,727.95
  5. Step 5: Solve for x
    x = 230,107,225,727.95/412,271.48
  6. Step 6: Final answer
    x = 558,144.90

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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.