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Finding the Fourth Proportional to 412,825.61, 619,300.08 and 146,563.83

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Solution

The fourth proportional to 412,825.61, 619,300.08 and 146,563.83 is: 219,867.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,825.61 : 619,300.08 = 146,563.83 : x
  2. Step 2: Convert to fraction form
    412,825.61/619,300.08 = 146,563.83/x
  3. Step 3: Cross multiply
    412,825.61x = 619,300.08 × 146,563.83
  4. Step 4: Simplify right side
    412,825.61x = 90,766,991,644.11
  5. Step 5: Solve for x
    x = 90,766,991,644.11/412,825.61
  6. Step 6: Final answer
    x = 219,867.64

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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.