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Finding the Fourth Proportional to 538,806.31, 743,586.41 and 297,088.54

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Solution

The fourth proportional to 538,806.31, 743,586.41 and 297,088.54 is: 410,000.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,806.31 : 743,586.41 = 297,088.54 : x
  2. Step 2: Convert to fraction form
    538,806.31/743,586.41 = 297,088.54/x
  3. Step 3: Cross multiply
    538,806.31x = 743,586.41 × 297,088.54
  4. Step 4: Simplify right side
    538,806.31x = 220,910,999,794.50
  5. Step 5: Solve for x
    x = 220,910,999,794.50/538,806.31
  6. Step 6: Final answer
    x = 410,000.77

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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.