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Finding the Fourth Proportional to 329,408, 494,773.20 and 196,547.52

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Solution

The fourth proportional to 329,408, 494,773.20 and 196,547.52 is: 295,215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,408 : 494,773.20 = 196,547.52 : x
  2. Step 2: Convert to fraction form
    329,408/494,773.20 = 196,547.52/x
  3. Step 3: Cross multiply
    329,408x = 494,773.20 × 196,547.52
  4. Step 4: Simplify right side
    329,408x = 97,246,445,422.46
  5. Step 5: Solve for x
    x = 97,246,445,422.46/329,408
  6. Step 6: Final answer
    x = 295,215.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.