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Finding the Fourth Proportional to 329,085.96, 493,647.40 and 92,410.18

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Solution

The fourth proportional to 329,085.96, 493,647.40 and 92,410.18 is: 138,620.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,085.96 : 493,647.40 = 92,410.18 : x
  2. Step 2: Convert to fraction form
    329,085.96/493,647.40 = 92,410.18/x
  3. Step 3: Cross multiply
    329,085.96x = 493,647.40 × 92,410.18
  4. Step 4: Simplify right side
    329,085.96x = 45,618,044,628.48
  5. Step 5: Solve for x
    x = 45,618,044,628.48/329,085.96
  6. Step 6: Final answer
    x = 138,620.45

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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.