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Finding the Fourth Proportional to 665,029.98, 917,735.67 and 363,217.50

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Solution

The fourth proportional to 665,029.98, 917,735.67 and 363,217.50 is: 501,237.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,029.98 : 917,735.67 = 363,217.50 : x
  2. Step 2: Convert to fraction form
    665,029.98/917,735.67 = 363,217.50/x
  3. Step 3: Cross multiply
    665,029.98x = 917,735.67 × 363,217.50
  4. Step 4: Simplify right side
    665,029.98x = 333,337,655,718.23
  5. Step 5: Solve for x
    x = 333,337,655,718.23/665,029.98
  6. Step 6: Final answer
    x = 501,237.04

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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.