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Finding the Fourth Proportional to 330,073.20, 494,866.98 and 105,304.26

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Solution

The fourth proportional to 330,073.20, 494,866.98 and 105,304.26 is: 157,878.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,073.20 : 494,866.98 = 105,304.26 : x
  2. Step 2: Convert to fraction form
    330,073.20/494,866.98 = 105,304.26/x
  3. Step 3: Cross multiply
    330,073.20x = 494,866.98 × 105,304.26
  4. Step 4: Simplify right side
    330,073.20x = 52,111,601,127.33
  5. Step 5: Solve for x
    x = 52,111,601,127.33/330,073.20
  6. Step 6: Final answer
    x = 157,878.92

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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.