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Finding the Fourth Proportional to 405,470.34, 559,537.92 and 224,189.91

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Solution

The fourth proportional to 405,470.34, 559,537.92 and 224,189.91 is: 309,375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,470.34 : 559,537.92 = 224,189.91 : x
  2. Step 2: Convert to fraction form
    405,470.34/559,537.92 = 224,189.91/x
  3. Step 3: Cross multiply
    405,470.34x = 559,537.92 × 224,189.91
  4. Step 4: Simplify right side
    405,470.34x = 125,442,755,926.39
  5. Step 5: Solve for x
    x = 125,442,755,926.39/405,470.34
  6. Step 6: Final answer
    x = 309,375.91

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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.