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Finding the Fourth Proportional to 329,543.02, 494,314.53 and 104,902.48

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Solution

The fourth proportional to 329,543.02, 494,314.53 and 104,902.48 is: 157,353.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,543.02 : 494,314.53 = 104,902.48 : x
  2. Step 2: Convert to fraction form
    329,543.02/494,314.53 = 104,902.48/x
  3. Step 3: Cross multiply
    329,543.02x = 494,314.53 × 104,902.48
  4. Step 4: Simplify right side
    329,543.02x = 51,854,820,097.03
  5. Step 5: Solve for x
    x = 51,854,820,097.03/329,543.02
  6. Step 6: Final answer
    x = 157,353.72

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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.