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Finding the Fourth Proportional to 473,992.26, 654,125.31 and 259,128.06

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Solution

The fourth proportional to 473,992.26, 654,125.31 and 259,128.06 is: 357,605.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,992.26 : 654,125.31 = 259,128.06 : x
  2. Step 2: Convert to fraction form
    473,992.26/654,125.31 = 259,128.06/x
  3. Step 3: Cross multiply
    473,992.26x = 654,125.31 × 259,128.06
  4. Step 4: Simplify right side
    473,992.26x = 169,502,222,577.20
  5. Step 5: Solve for x
    x = 169,502,222,577.20/473,992.26
  6. Step 6: Final answer
    x = 357,605.47

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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.