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Finding the Fourth Proportional to 328,223.73, 492,418.62 and 91,566.23

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Solution

The fourth proportional to 328,223.73, 492,418.62 and 91,566.23 is: 137,372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,223.73 : 492,418.62 = 91,566.23 : x
  2. Step 2: Convert to fraction form
    328,223.73/492,418.62 = 91,566.23/x
  3. Step 3: Cross multiply
    328,223.73x = 492,418.62 × 91,566.23
  4. Step 4: Simplify right side
    328,223.73x = 45,088,914,153.11
  5. Step 5: Solve for x
    x = 45,088,914,153.11/328,223.73
  6. Step 6: Final answer
    x = 137,372.50

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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.