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Finding the Fourth Proportional to 501,790.73, 692,156.22 and 297,697.15

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Solution

The fourth proportional to 501,790.73, 692,156.22 and 297,697.15 is: 410,635.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,790.73 : 692,156.22 = 297,697.15 : x
  2. Step 2: Convert to fraction form
    501,790.73/692,156.22 = 297,697.15/x
  3. Step 3: Cross multiply
    501,790.73x = 692,156.22 × 297,697.15
  4. Step 4: Simplify right side
    501,790.73x = 206,052,933,797.60
  5. Step 5: Solve for x
    x = 206,052,933,797.60/501,790.73
  6. Step 6: Final answer
    x = 410,635.20

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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.