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Finding the Fourth Proportional to 501,629.72, 692,203.20 and 297,645.53

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Solution

The fourth proportional to 501,629.72, 692,203.20 and 297,645.53 is: 410,723.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,629.72 : 692,203.20 = 297,645.53 : x
  2. Step 2: Convert to fraction form
    501,629.72/692,203.20 = 297,645.53/x
  3. Step 3: Cross multiply
    501,629.72x = 692,203.20 × 297,645.53
  4. Step 4: Simplify right side
    501,629.72x = 206,031,188,331.70
  5. Step 5: Solve for x
    x = 206,031,188,331.70/501,629.72
  6. Step 6: Final answer
    x = 410,723.65

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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.