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Finding the Fourth Proportional to 292,519, 403,676.22 and 158,383

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Solution

The fourth proportional to 292,519, 403,676.22 and 158,383 is: 218,568.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,519 : 403,676.22 = 158,383 : x
  2. Step 2: Convert to fraction form
    292,519/403,676.22 = 158,383/x
  3. Step 3: Cross multiply
    292,519x = 403,676.22 × 158,383
  4. Step 4: Simplify right side
    292,519x = 63,935,450,752.26
  5. Step 5: Solve for x
    x = 63,935,450,752.26/292,519
  6. Step 6: Final answer
    x = 218,568.54

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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.