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Finding the Fourth Proportional to 412,798.71, 619,255.44 and 146,495.97

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Solution

The fourth proportional to 412,798.71, 619,255.44 and 146,495.97 is: 219,764.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,798.71 : 619,255.44 = 146,495.97 : x
  2. Step 2: Convert to fraction form
    412,798.71/619,255.44 = 146,495.97/x
  3. Step 3: Cross multiply
    412,798.71x = 619,255.44 × 146,495.97
  4. Step 4: Simplify right side
    412,798.71x = 90,718,426,360.58
  5. Step 5: Solve for x
    x = 90,718,426,360.58/412,798.71
  6. Step 6: Final answer
    x = 219,764.32

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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.