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Finding the Fourth Proportional to 328,695.96, 492,838.86 and 150,974.88

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Solution

The fourth proportional to 328,695.96, 492,838.86 and 150,974.88 is: 226,368.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,695.96 : 492,838.86 = 150,974.88 : x
  2. Step 2: Convert to fraction form
    328,695.96/492,838.86 = 150,974.88/x
  3. Step 3: Cross multiply
    328,695.96x = 492,838.86 × 150,974.88
  4. Step 4: Simplify right side
    328,695.96x = 74,406,287,747.84
  5. Step 5: Solve for x
    x = 74,406,287,747.84/328,695.96
  6. Step 6: Final answer
    x = 226,368.12

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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.