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Finding the Fourth Proportional to 412,857.60, 619,286.40 and 235,710.60

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Solution

The fourth proportional to 412,857.60, 619,286.40 and 235,710.60 is: 353,565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,857.60 : 619,286.40 = 235,710.60 : x
  2. Step 2: Convert to fraction form
    412,857.60/619,286.40 = 235,710.60/x
  3. Step 3: Cross multiply
    412,857.60x = 619,286.40 × 235,710.60
  4. Step 4: Simplify right side
    412,857.60x = 145,972,368,915.84
  5. Step 5: Solve for x
    x = 145,972,368,915.84/412,857.60
  6. Step 6: Final answer
    x = 353,565.90

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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.