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Finding the Fourth Proportional to 405,946.86, 560,211.75 and 224,658.33

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Solution

The fourth proportional to 405,946.86, 560,211.75 and 224,658.33 is: 310,031.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,946.86 : 560,211.75 = 224,658.33 : x
  2. Step 2: Convert to fraction form
    405,946.86/560,211.75 = 224,658.33/x
  3. Step 3: Cross multiply
    405,946.86x = 560,211.75 × 224,658.33
  4. Step 4: Simplify right side
    405,946.86x = 125,856,236,201.38
  5. Step 5: Solve for x
    x = 125,856,236,201.38/405,946.86
  6. Step 6: Final answer
    x = 310,031.31

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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.