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Finding the Fourth Proportional to 466,049.78, 643,142.59 and 262,100.64

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Solution

The fourth proportional to 466,049.78, 643,142.59 and 262,100.64 is: 361,695.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,049.78 : 643,142.59 = 262,100.64 : x
  2. Step 2: Convert to fraction form
    466,049.78/643,142.59 = 262,100.64/x
  3. Step 3: Cross multiply
    466,049.78x = 643,142.59 × 262,100.64
  4. Step 4: Simplify right side
    466,049.78x = 168,568,082,623.17
  5. Step 5: Solve for x
    x = 168,568,082,623.17/466,049.78
  6. Step 6: Final answer
    x = 361,695.45

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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.