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Finding the Fourth Proportional to 329,297.74, 494,019.51 and 104,726.86

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Solution

The fourth proportional to 329,297.74, 494,019.51 and 104,726.86 is: 157,113.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,297.74 : 494,019.51 = 104,726.86 : x
  2. Step 2: Convert to fraction form
    329,297.74/494,019.51 = 104,726.86/x
  3. Step 3: Cross multiply
    329,297.74x = 494,019.51 × 104,726.86
  4. Step 4: Simplify right side
    329,297.74x = 51,737,112,061.04
  5. Step 5: Solve for x
    x = 51,737,112,061.04/329,297.74
  6. Step 6: Final answer
    x = 157,113.47

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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.