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Finding the Fourth Proportional to 652,152.16, 978,229.68 and 178,844.32

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Solution

The fourth proportional to 652,152.16, 978,229.68 and 178,844.32 is: 268,266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,152.16 : 978,229.68 = 178,844.32 : x
  2. Step 2: Convert to fraction form
    652,152.16/978,229.68 = 178,844.32/x
  3. Step 3: Cross multiply
    652,152.16x = 978,229.68 × 178,844.32
  4. Step 4: Simplify right side
    652,152.16x = 174,950,821,923.42
  5. Step 5: Solve for x
    x = 174,950,821,923.42/652,152.16
  6. Step 6: Final answer
    x = 268,266.87

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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.