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Finding the Fourth Proportional to 417,809.72, 576,580.20 and 226,824.14

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Solution

The fourth proportional to 417,809.72, 576,580.20 and 226,824.14 is: 313,018.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,809.72 : 576,580.20 = 226,824.14 : x
  2. Step 2: Convert to fraction form
    417,809.72/576,580.20 = 226,824.14/x
  3. Step 3: Cross multiply
    417,809.72x = 576,580.20 × 226,824.14
  4. Step 4: Simplify right side
    417,809.72x = 130,782,308,006.03
  5. Step 5: Solve for x
    x = 130,782,308,006.03/417,809.72
  6. Step 6: Final answer
    x = 313,018.83

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1.5x scale

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.