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Finding the Fourth Proportional to 652,235.38, 978,355.95 and 178,926.10

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Solution

The fourth proportional to 652,235.38, 978,355.95 and 178,926.10 is: 268,389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,235.38 : 978,355.95 = 178,926.10 : x
  2. Step 2: Convert to fraction form
    652,235.38/978,355.95 = 178,926.10/x
  3. Step 3: Cross multiply
    652,235.38x = 978,355.95 × 178,926.10
  4. Step 4: Simplify right side
    652,235.38x = 175,053,414,545.30
  5. Step 5: Solve for x
    x = 175,053,414,545.30/652,235.38
  6. Step 6: Final answer
    x = 268,389.94

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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.