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Finding the Fourth Proportional to 323,082.57, 484,623.99 and 145,382.01

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Solution

The fourth proportional to 323,082.57, 484,623.99 and 145,382.01 is: 218,073.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,082.57 : 484,623.99 = 145,382.01 : x
  2. Step 2: Convert to fraction form
    323,082.57/484,623.99 = 145,382.01/x
  3. Step 3: Cross multiply
    323,082.57x = 484,623.99 × 145,382.01
  4. Step 4: Simplify right side
    323,082.57x = 70,455,609,760.42
  5. Step 5: Solve for x
    x = 70,455,609,760.42/323,082.57
  6. Step 6: Final answer
    x = 218,073.08

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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.