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Finding the Fourth Proportional to 473,882.64, 653,956.44 and 259,022.64

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Solution

The fourth proportional to 473,882.64, 653,956.44 and 259,022.64 is: 357,450.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,882.64 : 653,956.44 = 259,022.64 : x
  2. Step 2: Convert to fraction form
    473,882.64/653,956.44 = 259,022.64/x
  3. Step 3: Cross multiply
    473,882.64x = 653,956.44 × 259,022.64
  4. Step 4: Simplify right side
    473,882.64x = 169,389,523,533.80
  5. Step 5: Solve for x
    x = 169,389,523,533.80/473,882.64
  6. Step 6: Final answer
    x = 357,450.37

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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.