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Finding the Fourth Proportional to 413,253.50, 570,244.20 and 231,923.84

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Solution

The fourth proportional to 413,253.50, 570,244.20 and 231,923.84 is: 320,029.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,253.50 : 570,244.20 = 231,923.84 : x
  2. Step 2: Convert to fraction form
    413,253.50/570,244.20 = 231,923.84/x
  3. Step 3: Cross multiply
    413,253.50x = 570,244.20 × 231,923.84
  4. Step 4: Simplify right side
    413,253.50x = 132,253,224,601.73
  5. Step 5: Solve for x
    x = 132,253,224,601.73/413,253.50
  6. Step 6: Final answer
    x = 320,029.29

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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.