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Finding the Fourth Proportional to 405,924.78, 560,164.74 and 224,644.26

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Solution

The fourth proportional to 405,924.78, 560,164.74 and 224,644.26 is: 310,002.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,924.78 : 560,164.74 = 224,644.26 : x
  2. Step 2: Convert to fraction form
    405,924.78/560,164.74 = 224,644.26/x
  3. Step 3: Cross multiply
    405,924.78x = 560,164.74 × 224,644.26
  4. Step 4: Simplify right side
    405,924.78x = 125,837,793,495.39
  5. Step 5: Solve for x
    x = 125,837,793,495.39/405,924.78
  6. Step 6: Final answer
    x = 310,002.74

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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.