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Finding the Fourth Proportional to 329,618, 494,402.16 and 104,969.36

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Solution

The fourth proportional to 329,618, 494,402.16 and 104,969.36 is: 157,446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,618 : 494,402.16 = 104,969.36 : x
  2. Step 2: Convert to fraction form
    329,618/494,402.16 = 104,969.36/x
  3. Step 3: Cross multiply
    329,618x = 494,402.16 × 104,969.36
  4. Step 4: Simplify right side
    329,618x = 51,897,078,317.82
  5. Step 5: Solve for x
    x = 51,897,078,317.82/329,618
  6. Step 6: Final answer
    x = 157,446.13

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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.