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Finding the Fourth Proportional to 307,850.10, 461,386.35 and 149,738.10

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Solution

The fourth proportional to 307,850.10, 461,386.35 and 149,738.10 is: 224,418.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,850.10 : 461,386.35 = 149,738.10 : x
  2. Step 2: Convert to fraction form
    307,850.10/461,386.35 = 149,738.10/x
  3. Step 3: Cross multiply
    307,850.10x = 461,386.35 × 149,738.10
  4. Step 4: Simplify right side
    307,850.10x = 69,087,115,414.94
  5. Step 5: Solve for x
    x = 69,087,115,414.94/307,850.10
  6. Step 6: Final answer
    x = 224,418.04

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1.5x scale

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.