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Finding the Fourth Proportional to 405,863.90, 560,092.84 and 224,583.48

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Solution

The fourth proportional to 405,863.90, 560,092.84 and 224,583.48 is: 309,925.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,863.90 : 560,092.84 = 224,583.48 : x
  2. Step 2: Convert to fraction form
    405,863.90/560,092.84 = 224,583.48/x
  3. Step 3: Cross multiply
    405,863.90x = 560,092.84 × 224,583.48
  4. Step 4: Simplify right side
    405,863.90x = 125,787,599,130.28
  5. Step 5: Solve for x
    x = 125,787,599,130.28/405,863.90
  6. Step 6: Final answer
    x = 309,925.57

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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.