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Finding the Fourth Proportional to 413,238.57, 570,225.42 and 231,970.47

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Solution

The fourth proportional to 413,238.57, 570,225.42 and 231,970.47 is: 320,094.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,238.57 : 570,225.42 = 231,970.47 : x
  2. Step 2: Convert to fraction form
    413,238.57/570,225.42 = 231,970.47/x
  3. Step 3: Cross multiply
    413,238.57x = 570,225.42 × 231,970.47
  4. Step 4: Simplify right side
    413,238.57x = 132,275,458,683.35
  5. Step 5: Solve for x
    x = 132,275,458,683.35/413,238.57
  6. Step 6: Final answer
    x = 320,094.66

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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.