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Finding the Fourth Proportional to 412,644.16, 569,550.24 and 251,588

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Solution

The fourth proportional to 412,644.16, 569,550.24 and 251,588 is: 347,253.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,644.16 : 569,550.24 = 251,588 : x
  2. Step 2: Convert to fraction form
    412,644.16/569,550.24 = 251,588/x
  3. Step 3: Cross multiply
    412,644.16x = 569,550.24 × 251,588
  4. Step 4: Simplify right side
    412,644.16x = 143,292,005,781.12
  5. Step 5: Solve for x
    x = 143,292,005,781.12/412,644.16
  6. Step 6: Final answer
    x = 347,253.20

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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.