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Finding the Fourth Proportional to 405,894.06, 560,161.86 and 224,613.66

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Solution

The fourth proportional to 405,894.06, 560,161.86 and 224,613.66 is: 309,982.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,894.06 : 560,161.86 = 224,613.66 : x
  2. Step 2: Convert to fraction form
    405,894.06/560,161.86 = 224,613.66/x
  3. Step 3: Cross multiply
    405,894.06x = 560,161.86 × 224,613.66
  4. Step 4: Simplify right side
    405,894.06x = 125,820,005,567.01
  5. Step 5: Solve for x
    x = 125,820,005,567.01/405,894.06
  6. Step 6: Final answer
    x = 309,982.38

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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.