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Finding the Fourth Proportional to 299,051.67, 412,723.32 and 182,833.34

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Solution

The fourth proportional to 299,051.67, 412,723.32 and 182,833.34 is: 252,329.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,051.67 : 412,723.32 = 182,833.34 : x
  2. Step 2: Convert to fraction form
    299,051.67/412,723.32 = 182,833.34/x
  3. Step 3: Cross multiply
    299,051.67x = 412,723.32 × 182,833.34
  4. Step 4: Simplify right side
    299,051.67x = 75,459,580,342.25
  5. Step 5: Solve for x
    x = 75,459,580,342.25/299,051.67
  6. Step 6: Final answer
    x = 252,329.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.