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Finding the Fourth Proportional to 329,095.71, 493,662.70 and 92,456.84

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Solution

The fourth proportional to 329,095.71, 493,662.70 and 92,456.84 is: 138,690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,095.71 : 493,662.70 = 92,456.84 : x
  2. Step 2: Convert to fraction form
    329,095.71/493,662.70 = 92,456.84/x
  3. Step 3: Cross multiply
    329,095.71x = 493,662.70 × 92,456.84
  4. Step 4: Simplify right side
    329,095.71x = 45,642,494,617.60
  5. Step 5: Solve for x
    x = 45,642,494,617.60/329,095.71
  6. Step 6: Final answer
    x = 138,690.64

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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.