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Finding the Fourth Proportional to 329,767.14, 494,686.59 and 105,074.76

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Solution

The fourth proportional to 329,767.14, 494,686.59 and 105,074.76 is: 157,623.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,767.14 : 494,686.59 = 105,074.76 : x
  2. Step 2: Convert to fraction form
    329,767.14/494,686.59 = 105,074.76/x
  3. Step 3: Cross multiply
    329,767.14x = 494,686.59 × 105,074.76
  4. Step 4: Simplify right side
    329,767.14x = 51,979,074,719.47
  5. Step 5: Solve for x
    x = 51,979,074,719.47/329,767.14
  6. Step 6: Final answer
    x = 157,623.57

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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.