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Finding the Fourth Proportional to 224,682.48, 337,022.76 and 58,470

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Solution

The fourth proportional to 224,682.48, 337,022.76 and 58,470 is: 87,704.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,682.48 : 337,022.76 = 58,470 : x
  2. Step 2: Convert to fraction form
    224,682.48/337,022.76 = 58,470/x
  3. Step 3: Cross multiply
    224,682.48x = 337,022.76 × 58,470
  4. Step 4: Simplify right side
    224,682.48x = 19,705,720,777.20
  5. Step 5: Solve for x
    x = 19,705,720,777.20/224,682.48
  6. Step 6: Final answer
    x = 87,704.75

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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.