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Finding the Fourth Proportional to 501,796.80, 692,164.62 and 297,703.17

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Solution

The fourth proportional to 501,796.80, 692,164.62 and 297,703.17 is: 410,643.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,796.80 : 692,164.62 = 297,703.17 : x
  2. Step 2: Convert to fraction form
    501,796.80/692,164.62 = 297,703.17/x
  3. Step 3: Cross multiply
    501,796.80x = 692,164.62 × 297,703.17
  4. Step 4: Simplify right side
    501,796.80x = 206,059,601,535.85
  5. Step 5: Solve for x
    x = 206,059,601,535.85/501,796.80
  6. Step 6: Final answer
    x = 410,643.51

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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.