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Finding the Fourth Proportional to 328,314.40, 492,487.80 and 170,850.40

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Solution

The fourth proportional to 328,314.40, 492,487.80 and 170,850.40 is: 256,284.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,314.40 : 492,487.80 = 170,850.40 : x
  2. Step 2: Convert to fraction form
    328,314.40/492,487.80 = 170,850.40/x
  3. Step 3: Cross multiply
    328,314.40x = 492,487.80 × 170,850.40
  4. Step 4: Simplify right side
    328,314.40x = 84,141,737,625.12
  5. Step 5: Solve for x
    x = 84,141,737,625.12/328,314.40
  6. Step 6: Final answer
    x = 256,284.03

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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.