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Finding the Fourth Proportional to 473,891.24, 653,969.92 and 259,032.14

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Solution

The fourth proportional to 473,891.24, 653,969.92 and 259,032.14 is: 357,464.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,891.24 : 653,969.92 = 259,032.14 : x
  2. Step 2: Convert to fraction form
    473,891.24/653,969.92 = 259,032.14/x
  3. Step 3: Cross multiply
    473,891.24x = 653,969.92 × 259,032.14
  4. Step 4: Simplify right side
    473,891.24x = 169,399,227,873.23
  5. Step 5: Solve for x
    x = 169,399,227,873.23/473,891.24
  6. Step 6: Final answer
    x = 357,464.36

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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.