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Finding the Fourth Proportional to 322,903.42, 484,355.54 and 154,384.14

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Solution

The fourth proportional to 322,903.42, 484,355.54 and 154,384.14 is: 231,576.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,903.42 : 484,355.54 = 154,384.14 : x
  2. Step 2: Convert to fraction form
    322,903.42/484,355.54 = 154,384.14/x
  3. Step 3: Cross multiply
    322,903.42x = 484,355.54 × 154,384.14
  4. Step 4: Simplify right side
    322,903.42x = 74,776,813,497.14
  5. Step 5: Solve for x
    x = 74,776,813,497.14/322,903.42
  6. Step 6: Final answer
    x = 231,576.41

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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.