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Finding the Fourth Proportional to 419,324.33, 628,404.57 and 191,062.10

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Solution

The fourth proportional to 419,324.33, 628,404.57 and 191,062.10 is: 286,328.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,324.33 : 628,404.57 = 191,062.10 : x
  2. Step 2: Convert to fraction form
    419,324.33/628,404.57 = 191,062.10/x
  3. Step 3: Cross multiply
    419,324.33x = 628,404.57 × 191,062.10
  4. Step 4: Simplify right side
    419,324.33x = 120,064,298,057.30
  5. Step 5: Solve for x
    x = 120,064,298,057.30/419,324.33
  6. Step 6: Final answer
    x = 286,328.01

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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.