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Finding the Fourth Proportional to 329,604, 494,112.76 and 119,195.16

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Solution

The fourth proportional to 329,604, 494,112.76 and 119,195.16 is: 178,686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,604 : 494,112.76 = 119,195.16 : x
  2. Step 2: Convert to fraction form
    329,604/494,112.76 = 119,195.16/x
  3. Step 3: Cross multiply
    329,604x = 494,112.76 × 119,195.16
  4. Step 4: Simplify right side
    329,604x = 58,895,849,486.24
  5. Step 5: Solve for x
    x = 58,895,849,486.24/329,604
  6. Step 6: Final answer
    x = 178,686.70

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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.