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Finding the Fourth Proportional to 492,023.56, 679,057.68 and 277,206.16

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Solution

The fourth proportional to 492,023.56, 679,057.68 and 277,206.16 is: 382,581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,023.56 : 679,057.68 = 277,206.16 : x
  2. Step 2: Convert to fraction form
    492,023.56/679,057.68 = 277,206.16/x
  3. Step 3: Cross multiply
    492,023.56x = 679,057.68 × 277,206.16
  4. Step 4: Simplify right side
    492,023.56x = 188,238,971,891.31
  5. Step 5: Solve for x
    x = 188,238,971,891.31/492,023.56
  6. Step 6: Final answer
    x = 382,581.22

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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.