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Finding the Fourth Proportional to 524,163.84, 786,241.44 and 150,187.20

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Solution

The fourth proportional to 524,163.84, 786,241.44 and 150,187.20 is: 225,279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,163.84 : 786,241.44 = 150,187.20 : x
  2. Step 2: Convert to fraction form
    524,163.84/786,241.44 = 150,187.20/x
  3. Step 3: Cross multiply
    524,163.84x = 786,241.44 × 150,187.20
  4. Step 4: Simplify right side
    524,163.84x = 118,083,400,397.57
  5. Step 5: Solve for x
    x = 118,083,400,397.57/524,163.84
  6. Step 6: Final answer
    x = 225,279.56

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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.