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Finding the Fourth Proportional to 462,992.40, 638,954.37 and 259,031.16

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Solution

The fourth proportional to 462,992.40, 638,954.37 and 259,031.16 is: 357,476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,992.40 : 638,954.37 = 259,031.16 : x
  2. Step 2: Convert to fraction form
    462,992.40/638,954.37 = 259,031.16/x
  3. Step 3: Cross multiply
    462,992.40x = 638,954.37 × 259,031.16
  4. Step 4: Simplify right side
    462,992.40x = 165,509,091,648.17
  5. Step 5: Solve for x
    x = 165,509,091,648.17/462,992.40
  6. Step 6: Final answer
    x = 357,476.91

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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.