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Finding the Fourth Proportional to 405,853.40, 560,078.34 and 224,572.97

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Solution

The fourth proportional to 405,853.40, 560,078.34 and 224,572.97 is: 309,911.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,853.40 : 560,078.34 = 224,572.97 : x
  2. Step 2: Convert to fraction form
    405,853.40/560,078.34 = 224,572.97/x
  3. Step 3: Cross multiply
    405,853.40x = 560,078.34 × 224,572.97
  4. Step 4: Simplify right side
    405,853.40x = 125,778,456,388.52
  5. Step 5: Solve for x
    x = 125,778,456,388.52/405,853.40
  6. Step 6: Final answer
    x = 309,911.06

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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.