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Finding the Fourth Proportional to 322,864.29, 484,295.63 and 153,872.37

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Solution

The fourth proportional to 322,864.29, 484,295.63 and 153,872.37 is: 230,808.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,864.29 : 484,295.63 = 153,872.37 : x
  2. Step 2: Convert to fraction form
    322,864.29/484,295.63 = 153,872.37/x
  3. Step 3: Cross multiply
    322,864.29x = 484,295.63 × 153,872.37
  4. Step 4: Simplify right side
    322,864.29x = 74,519,715,599.38
  5. Step 5: Solve for x
    x = 74,519,715,599.38/322,864.29
  6. Step 6: Final answer
    x = 230,808.17

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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.