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Finding the Fourth Proportional to 565,005.98, 779,362.97 and 335,407.43

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Solution

The fourth proportional to 565,005.98, 779,362.97 and 335,407.43 is: 462,657.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,005.98 : 779,362.97 = 335,407.43 : x
  2. Step 2: Convert to fraction form
    565,005.98/779,362.97 = 335,407.43/x
  3. Step 3: Cross multiply
    565,005.98x = 779,362.97 × 335,407.43
  4. Step 4: Simplify right side
    565,005.98x = 261,404,131,076.24
  5. Step 5: Solve for x
    x = 261,404,131,076.24/565,005.98
  6. Step 6: Final answer
    x = 462,657.28

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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.