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Finding the Fourth Proportional to 405,833.91, 560,051.45 and 224,553.48

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Solution

The fourth proportional to 405,833.91, 560,051.45 and 224,553.48 is: 309,884.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,833.91 : 560,051.45 = 224,553.48 : x
  2. Step 2: Convert to fraction form
    405,833.91/560,051.45 = 224,553.48/x
  3. Step 3: Cross multiply
    405,833.91x = 560,051.45 × 224,553.48
  4. Step 4: Simplify right side
    405,833.91x = 125,761,502,076.55
  5. Step 5: Solve for x
    x = 125,761,502,076.55/405,833.91
  6. Step 6: Final answer
    x = 309,884.16

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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.