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Finding the Fourth Proportional to 652,532.28, 978,754.68 and 179,178

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Solution

The fourth proportional to 652,532.28, 978,754.68 and 179,178 is: 268,754.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,532.28 : 978,754.68 = 179,178 : x
  2. Step 2: Convert to fraction form
    652,532.28/978,754.68 = 179,178/x
  3. Step 3: Cross multiply
    652,532.28x = 978,754.68 × 179,178
  4. Step 4: Simplify right side
    652,532.28x = 175,371,306,053.04
  5. Step 5: Solve for x
    x = 175,371,306,053.04/652,532.28
  6. Step 6: Final answer
    x = 268,754.99

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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.