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Finding the Fourth Proportional to 413,154.14, 570,162.91 and 231,879.89

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Solution

The fourth proportional to 413,154.14, 570,162.91 and 231,879.89 is: 319,999.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,154.14 : 570,162.91 = 231,879.89 : x
  2. Step 2: Convert to fraction form
    413,154.14/570,162.91 = 231,879.89/x
  3. Step 3: Cross multiply
    413,154.14x = 570,162.91 × 231,879.89
  4. Step 4: Simplify right side
    413,154.14x = 132,209,310,291.92
  5. Step 5: Solve for x
    x = 132,209,310,291.92/413,154.14
  6. Step 6: Final answer
    x = 319,999.97

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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.