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Finding the Fourth Proportional to 652,516.32, 978,586.56 and 179,217.12

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Solution

The fourth proportional to 652,516.32, 978,586.56 and 179,217.12 is: 268,774.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,516.32 : 978,586.56 = 179,217.12 : x
  2. Step 2: Convert to fraction form
    652,516.32/978,586.56 = 179,217.12/x
  3. Step 3: Cross multiply
    652,516.32x = 978,586.56 × 179,217.12
  4. Step 4: Simplify right side
    652,516.32x = 175,379,464,953.91
  5. Step 5: Solve for x
    x = 175,379,464,953.91/652,516.32
  6. Step 6: Final answer
    x = 268,774.07

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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.