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Finding the Fourth Proportional to 291,158.01, 400,865.75 and 284,805.38

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Solution

The fourth proportional to 291,158.01, 400,865.75 and 284,805.38 is: 392,119.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,158.01 : 400,865.75 = 284,805.38 : x
  2. Step 2: Convert to fraction form
    291,158.01/400,865.75 = 284,805.38/x
  3. Step 3: Cross multiply
    291,158.01x = 400,865.75 × 284,805.38
  4. Step 4: Simplify right side
    291,158.01x = 114,168,722,257.74
  5. Step 5: Solve for x
    x = 114,168,722,257.74/291,158.01
  6. Step 6: Final answer
    x = 392,119.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.