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Finding the Fourth Proportional to 437,151.16, 655,267.29 and 200,299.06

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Solution

The fourth proportional to 437,151.16, 655,267.29 and 200,299.06 is: 300,238.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,151.16 : 655,267.29 = 200,299.06 : x
  2. Step 2: Convert to fraction form
    437,151.16/655,267.29 = 200,299.06/x
  3. Step 3: Cross multiply
    437,151.16x = 655,267.29 × 200,299.06
  4. Step 4: Simplify right side
    437,151.16x = 131,249,422,235.75
  5. Step 5: Solve for x
    x = 131,249,422,235.75/437,151.16
  6. Step 6: Final answer
    x = 300,238.07

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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.