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Finding the Fourth Proportional to 501,795.70, 692,163.10 and 297,702.16

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Solution

The fourth proportional to 501,795.70, 692,163.10 and 297,702.16 is: 410,642.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,795.70 : 692,163.10 = 297,702.16 : x
  2. Step 2: Convert to fraction form
    501,795.70/692,163.10 = 297,702.16/x
  3. Step 3: Cross multiply
    501,795.70x = 692,163.10 × 297,702.16
  4. Step 4: Simplify right side
    501,795.70x = 206,058,449,942.30
  5. Step 5: Solve for x
    x = 206,058,449,942.30/501,795.70
  6. Step 6: Final answer
    x = 410,642.12

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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.