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Finding the Fourth Proportional to 323,082.33, 484,623.62 and 145,381.76

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Solution

The fourth proportional to 323,082.33, 484,623.62 and 145,381.76 is: 218,072.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,082.33 : 484,623.62 = 145,381.76 : x
  2. Step 2: Convert to fraction form
    323,082.33/484,623.62 = 145,381.76/x
  3. Step 3: Cross multiply
    323,082.33x = 484,623.62 × 145,381.76
  4. Step 4: Simplify right side
    323,082.33x = 70,455,434,813.17
  5. Step 5: Solve for x
    x = 70,455,434,813.17/323,082.33
  6. Step 6: Final answer
    x = 218,072.70

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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.