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Finding the Fourth Proportional to 412,830.40, 619,245.60 and 349,844.80

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Solution

The fourth proportional to 412,830.40, 619,245.60 and 349,844.80 is: 524,767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,830.40 : 619,245.60 = 349,844.80 : x
  2. Step 2: Convert to fraction form
    412,830.40/619,245.60 = 349,844.80/x
  3. Step 3: Cross multiply
    412,830.40x = 619,245.60 × 349,844.80
  4. Step 4: Simplify right side
    412,830.40x = 216,639,853,082.88
  5. Step 5: Solve for x
    x = 216,639,853,082.88/412,830.40
  6. Step 6: Final answer
    x = 524,767.20

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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.