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Finding the Fourth Proportional to 412,808.40, 619,212.60 and 349,822.80

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Solution

The fourth proportional to 412,808.40, 619,212.60 and 349,822.80 is: 524,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,808.40 : 619,212.60 = 349,822.80 : x
  2. Step 2: Convert to fraction form
    412,808.40/619,212.60 = 349,822.80/x
  3. Step 3: Cross multiply
    412,808.40x = 619,212.60 × 349,822.80
  4. Step 4: Simplify right side
    412,808.40x = 216,614,685,527.28
  5. Step 5: Solve for x
    x = 216,614,685,527.28/412,808.40
  6. Step 6: Final answer
    x = 524,734.20

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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.