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Finding the Fourth Proportional to 469,395.33, 704,147.99 and 149,435.12

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Solution

The fourth proportional to 469,395.33, 704,147.99 and 149,435.12 is: 224,170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,395.33 : 704,147.99 = 149,435.12 : x
  2. Step 2: Convert to fraction form
    469,395.33/704,147.99 = 149,435.12/x
  3. Step 3: Cross multiply
    469,395.33x = 704,147.99 × 149,435.12
  4. Step 4: Simplify right side
    469,395.33x = 105,224,435,115.49
  5. Step 5: Solve for x
    x = 105,224,435,115.49/469,395.33
  6. Step 6: Final answer
    x = 224,170.18

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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.