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Finding the Fourth Proportional to 413,183.88, 570,169.80 and 231,878.88

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Solution

The fourth proportional to 413,183.88, 570,169.80 and 231,878.88 is: 319,979.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,183.88 : 570,169.80 = 231,878.88 : x
  2. Step 2: Convert to fraction form
    413,183.88/570,169.80 = 231,878.88/x
  3. Step 3: Cross multiply
    413,183.88x = 570,169.80 × 231,878.88
  4. Step 4: Simplify right side
    413,183.88x = 132,210,334,633.82
  5. Step 5: Solve for x
    x = 132,210,334,633.82/413,183.88
  6. Step 6: Final answer
    x = 319,979.41

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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.