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Finding the Fourth Proportional to 329,029.76, 493,727.04 and 160,551.49

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Solution

The fourth proportional to 329,029.76, 493,727.04 and 160,551.49 is: 240,916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,029.76 : 493,727.04 = 160,551.49 : x
  2. Step 2: Convert to fraction form
    329,029.76/493,727.04 = 160,551.49/x
  3. Step 3: Cross multiply
    329,029.76x = 493,727.04 × 160,551.49
  4. Step 4: Simplify right side
    329,029.76x = 79,268,609,768.07
  5. Step 5: Solve for x
    x = 79,268,609,768.07/329,029.76
  6. Step 6: Final answer
    x = 240,916.23

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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.