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Finding the Fourth Proportional to 329,100.77, 493,670.30 and 92,461.91

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Solution

The fourth proportional to 329,100.77, 493,670.30 and 92,461.91 is: 138,698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,100.77 : 493,670.30 = 92,461.91 : x
  2. Step 2: Convert to fraction form
    329,100.77/493,670.30 = 92,461.91/x
  3. Step 3: Cross multiply
    329,100.77x = 493,670.30 × 92,461.91
  4. Step 4: Simplify right side
    329,100.77x = 45,645,695,917.61
  5. Step 5: Solve for x
    x = 45,645,695,917.61/329,100.77
  6. Step 6: Final answer
    x = 138,698.23

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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.