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Finding the Fourth Proportional to 501,790.20, 692,155.51 and 297,696.66

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Solution

The fourth proportional to 501,790.20, 692,155.51 and 297,696.66 is: 410,634.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,790.20 : 692,155.51 = 297,696.66 : x
  2. Step 2: Convert to fraction form
    501,790.20/692,155.51 = 297,696.66/x
  3. Step 3: Cross multiply
    501,790.20x = 692,155.51 × 297,696.66
  4. Step 4: Simplify right side
    501,790.20x = 206,052,383,527.60
  5. Step 5: Solve for x
    x = 206,052,383,527.60/501,790.20
  6. Step 6: Final answer
    x = 410,634.53

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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.