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Finding the Fourth Proportional to 417,861.48, 576,645.54 and 226,871

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Solution

The fourth proportional to 417,861.48, 576,645.54 and 226,871 is: 313,080.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,861.48 : 576,645.54 = 226,871 : x
  2. Step 2: Convert to fraction form
    417,861.48/576,645.54 = 226,871/x
  3. Step 3: Cross multiply
    417,861.48x = 576,645.54 × 226,871
  4. Step 4: Simplify right side
    417,861.48x = 130,824,150,305.34
  5. Step 5: Solve for x
    x = 130,824,150,305.34/417,861.48
  6. Step 6: Final answer
    x = 313,080.19

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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.