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Finding the Fourth Proportional to 471,225, 650,424.20 and 277,745.16

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Solution

The fourth proportional to 471,225, 650,424.20 and 277,745.16 is: 383,367.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,225 : 650,424.20 = 277,745.16 : x
  2. Step 2: Convert to fraction form
    471,225/650,424.20 = 277,745.16/x
  3. Step 3: Cross multiply
    471,225x = 650,424.20 × 277,745.16
  4. Step 4: Simplify right side
    471,225x = 180,652,173,496.87
  5. Step 5: Solve for x
    x = 180,652,173,496.87/471,225
  6. Step 6: Final answer
    x = 383,367.13

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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.