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Finding the Fourth Proportional to 524,396.70, 786,624.33 and 150,409.50

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Solution

The fourth proportional to 524,396.70, 786,624.33 and 150,409.50 is: 225,622.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,396.70 : 786,624.33 = 150,409.50 : x
  2. Step 2: Convert to fraction form
    524,396.70/786,624.33 = 150,409.50/x
  3. Step 3: Cross multiply
    524,396.70x = 786,624.33 × 150,409.50
  4. Step 4: Simplify right side
    524,396.70x = 118,315,772,163.14
  5. Step 5: Solve for x
    x = 118,315,772,163.14/524,396.70
  6. Step 6: Final answer
    x = 225,622.65

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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.