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Finding the Fourth Proportional to 413,239.74, 570,231.46 and 231,910.10

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Solution

The fourth proportional to 413,239.74, 570,231.46 and 231,910.10 is: 320,013.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,239.74 : 570,231.46 = 231,910.10 : x
  2. Step 2: Convert to fraction form
    413,239.74/570,231.46 = 231,910.10/x
  3. Step 3: Cross multiply
    413,239.74x = 570,231.46 × 231,910.10
  4. Step 4: Simplify right side
    413,239.74x = 132,242,434,911.75
  5. Step 5: Solve for x
    x = 132,242,434,911.75/413,239.74
  6. Step 6: Final answer
    x = 320,013.84

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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.