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Finding the Fourth Proportional to 328,083.40, 492,125.10 and 194,895.10

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Solution

The fourth proportional to 328,083.40, 492,125.10 and 194,895.10 is: 292,342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,083.40 : 492,125.10 = 194,895.10 : x
  2. Step 2: Convert to fraction form
    328,083.40/492,125.10 = 194,895.10/x
  3. Step 3: Cross multiply
    328,083.40x = 492,125.10 × 194,895.10
  4. Step 4: Simplify right side
    328,083.40x = 95,912,770,577.01
  5. Step 5: Solve for x
    x = 95,912,770,577.01/328,083.40
  6. Step 6: Final answer
    x = 292,342.65

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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.