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Finding the Fourth Proportional to 384,819.84, 530,707.50 and 241,593.24

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Solution

The fourth proportional to 384,819.84, 530,707.50 and 241,593.24 is: 333,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,819.84 : 530,707.50 = 241,593.24 : x
  2. Step 2: Convert to fraction form
    384,819.84/530,707.50 = 241,593.24/x
  3. Step 3: Cross multiply
    384,819.84x = 530,707.50 × 241,593.24
  4. Step 4: Simplify right side
    384,819.84x = 128,215,344,417.30
  5. Step 5: Solve for x
    x = 128,215,344,417.30/384,819.84
  6. Step 6: Final answer
    x = 333,182.78

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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.