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Finding the Fourth Proportional to 291,324.80, 401,706.91 and 199,459.21

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Solution

The fourth proportional to 291,324.80, 401,706.91 and 199,459.21 is: 275,033.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,324.80 : 401,706.91 = 199,459.21 : x
  2. Step 2: Convert to fraction form
    291,324.80/401,706.91 = 199,459.21/x
  3. Step 3: Cross multiply
    291,324.80x = 401,706.91 × 199,459.21
  4. Step 4: Simplify right side
    291,324.80x = 80,124,141,417.23
  5. Step 5: Solve for x
    x = 80,124,141,417.23/291,324.80
  6. Step 6: Final answer
    x = 275,033.71

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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.