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Finding the Fourth Proportional to 412,965.63, 569,892.78 and 241,001.82

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Solution

The fourth proportional to 412,965.63, 569,892.78 and 241,001.82 is: 332,582.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,965.63 : 569,892.78 = 241,001.82 : x
  2. Step 2: Convert to fraction form
    412,965.63/569,892.78 = 241,001.82/x
  3. Step 3: Cross multiply
    412,965.63x = 569,892.78 × 241,001.82
  4. Step 4: Simplify right side
    412,965.63x = 137,345,197,184.86
  5. Step 5: Solve for x
    x = 137,345,197,184.86/412,965.63
  6. Step 6: Final answer
    x = 332,582.63

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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.