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Finding the Fourth Proportional to 405,820.72, 560,018.10 and 224,531.92

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Solution

The fourth proportional to 405,820.72, 560,018.10 and 224,531.92 is: 309,846.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,820.72 : 560,018.10 = 224,531.92 : x
  2. Step 2: Convert to fraction form
    405,820.72/560,018.10 = 224,531.92/x
  3. Step 3: Cross multiply
    405,820.72x = 560,018.10 × 224,531.92
  4. Step 4: Simplify right side
    405,820.72x = 125,741,939,227.75
  5. Step 5: Solve for x
    x = 125,741,939,227.75/405,820.72
  6. Step 6: Final answer
    x = 309,846.03

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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.