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Finding the Fourth Proportional to 652,318.30, 978,433.44 and 178,964.02

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Solution

The fourth proportional to 652,318.30, 978,433.44 and 178,964.02 is: 268,433.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,318.30 : 978,433.44 = 178,964.02 : x
  2. Step 2: Convert to fraction form
    652,318.30/978,433.44 = 178,964.02/x
  3. Step 3: Cross multiply
    652,318.30x = 978,433.44 × 178,964.02
  4. Step 4: Simplify right side
    652,318.30x = 175,104,381,724.83
  5. Step 5: Solve for x
    x = 175,104,381,724.83/652,318.30
  6. Step 6: Final answer
    x = 268,433.96

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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.