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Finding the Fourth Proportional to 328,163.10, 492,244.65 and 314,166.30

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Solution

The fourth proportional to 328,163.10, 492,244.65 and 314,166.30 is: 471,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,163.10 : 492,244.65 = 314,166.30 : x
  2. Step 2: Convert to fraction form
    328,163.10/492,244.65 = 314,166.30/x
  3. Step 3: Cross multiply
    328,163.10x = 492,244.65 × 314,166.30
  4. Step 4: Simplify right side
    328,163.10x = 154,646,680,385.30
  5. Step 5: Solve for x
    x = 154,646,680,385.30/328,163.10
  6. Step 6: Final answer
    x = 471,249.45

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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.