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Finding the Fourth Proportional to 413,141.96, 570,081.06 and 231,846.92

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Solution

The fourth proportional to 413,141.96, 570,081.06 and 231,846.92 is: 319,917.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,141.96 : 570,081.06 = 231,846.92 : x
  2. Step 2: Convert to fraction form
    413,141.96/570,081.06 = 231,846.92/x
  3. Step 3: Cross multiply
    413,141.96x = 570,081.06 × 231,846.92
  4. Step 4: Simplify right side
    413,141.96x = 132,171,537,911.34
  5. Step 5: Solve for x
    x = 132,171,537,911.34/413,141.96
  6. Step 6: Final answer
    x = 319,917.97

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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.