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Finding the Fourth Proportional to 473,891.23, 653,969.91 and 259,032.13

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Solution

The fourth proportional to 473,891.23, 653,969.91 and 259,032.13 is: 357,464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,891.23 : 653,969.91 = 259,032.13 : x
  2. Step 2: Convert to fraction form
    473,891.23/653,969.91 = 259,032.13/x
  3. Step 3: Cross multiply
    473,891.23x = 653,969.91 × 259,032.13
  4. Step 4: Simplify right side
    473,891.23x = 169,399,218,743.21
  5. Step 5: Solve for x
    x = 169,399,218,743.21/473,891.23
  6. Step 6: Final answer
    x = 357,464.35

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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.