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Finding the Fourth Proportional to 329,877.65, 494,783.66 and 152,382.09

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Solution

The fourth proportional to 329,877.65, 494,783.66 and 152,382.09 is: 228,557.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,877.65 : 494,783.66 = 152,382.09 : x
  2. Step 2: Convert to fraction form
    329,877.65/494,783.66 = 152,382.09/x
  3. Step 3: Cross multiply
    329,877.65x = 494,783.66 × 152,382.09
  4. Step 4: Simplify right side
    329,877.65x = 75,396,167,446.74
  5. Step 5: Solve for x
    x = 75,396,167,446.74/329,877.65
  6. Step 6: Final answer
    x = 228,557.98

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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.