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Finding the Fourth Proportional to 413,156.16, 570,166.82 and 231,879.32

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Solution

The fourth proportional to 413,156.16, 570,166.82 and 231,879.32 is: 319,999.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,156.16 : 570,166.82 = 231,879.32 : x
  2. Step 2: Convert to fraction form
    413,156.16/570,166.82 = 231,879.32/x
  3. Step 3: Cross multiply
    413,156.16x = 570,166.82 × 231,879.32
  4. Step 4: Simplify right side
    413,156.16x = 132,209,894,508.16
  5. Step 5: Solve for x
    x = 132,209,894,508.16/413,156.16
  6. Step 6: Final answer
    x = 319,999.81

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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.