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Finding the Fourth Proportional to 293,408, 404,907.92 and 159,272

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Solution

The fourth proportional to 293,408, 404,907.92 and 159,272 is: 219,798.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,408 : 404,907.92 = 159,272 : x
  2. Step 2: Convert to fraction form
    293,408/404,907.92 = 159,272/x
  3. Step 3: Cross multiply
    293,408x = 404,907.92 × 159,272
  4. Step 4: Simplify right side
    293,408x = 64,490,494,234.24
  5. Step 5: Solve for x
    x = 64,490,494,234.24/293,408
  6. Step 6: Final answer
    x = 219,798.01

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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.