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Finding the Fourth Proportional to 329,699.35, 494,543.66 and 105,056.75

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Solution

The fourth proportional to 329,699.35, 494,543.66 and 105,056.75 is: 157,583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,699.35 : 494,543.66 = 105,056.75 : x
  2. Step 2: Convert to fraction form
    329,699.35/494,543.66 = 105,056.75/x
  3. Step 3: Cross multiply
    329,699.35x = 494,543.66 × 105,056.75
  4. Step 4: Simplify right side
    329,699.35x = 51,955,149,652.71
  5. Step 5: Solve for x
    x = 51,955,149,652.71/329,699.35
  6. Step 6: Final answer
    x = 157,583.42

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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.