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Finding the Fourth Proportional to 412,718, 569,550.84 and 243,056.48

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Solution

The fourth proportional to 412,718, 569,550.84 and 243,056.48 is: 335,417.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,718 : 569,550.84 = 243,056.48 : x
  2. Step 2: Convert to fraction form
    412,718/569,550.84 = 243,056.48/x
  3. Step 3: Cross multiply
    412,718x = 569,550.84 × 243,056.48
  4. Step 4: Simplify right side
    412,718x = 138,433,022,351.44
  5. Step 5: Solve for x
    x = 138,433,022,351.44/412,718
  6. Step 6: Final answer
    x = 335,417.94

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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.