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Finding the Fourth Proportional to 409,097, 564,553.26 and 227,824.80

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Solution

The fourth proportional to 409,097, 564,553.26 and 227,824.80 is: 314,397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,097 : 564,553.26 = 227,824.80 : x
  2. Step 2: Convert to fraction form
    409,097/564,553.26 = 227,824.80/x
  3. Step 3: Cross multiply
    409,097x = 564,553.26 × 227,824.80
  4. Step 4: Simplify right side
    409,097x = 128,619,233,548.85
  5. Step 5: Solve for x
    x = 128,619,233,548.85/409,097
  6. Step 6: Final answer
    x = 314,397.89

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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.