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Finding the Fourth Proportional to 412,643.57, 619,058.70 and 146,404.40

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Solution

The fourth proportional to 412,643.57, 619,058.70 and 146,404.40 is: 219,639.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,643.57 : 619,058.70 = 146,404.40 : x
  2. Step 2: Convert to fraction form
    412,643.57/619,058.70 = 146,404.40/x
  3. Step 3: Cross multiply
    412,643.57x = 619,058.70 × 146,404.40
  4. Step 4: Simplify right side
    412,643.57x = 90,632,914,442.99
  5. Step 5: Solve for x
    x = 90,632,914,442.99/412,643.57
  6. Step 6: Final answer
    x = 219,639.71

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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.