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Finding the Fourth Proportional to 329,421, 494,087.82 and 92,782.28

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Solution

The fourth proportional to 329,421, 494,087.82 and 92,782.28 is: 139,161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,421 : 494,087.82 = 92,782.28 : x
  2. Step 2: Convert to fraction form
    329,421/494,087.82 = 92,782.28/x
  3. Step 3: Cross multiply
    329,421x = 494,087.82 × 92,782.28
  4. Step 4: Simplify right side
    329,421x = 45,842,594,459.83
  5. Step 5: Solve for x
    x = 45,842,594,459.83/329,421
  6. Step 6: Final answer
    x = 139,161.12

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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.