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Finding the Fourth Proportional to 405,851.88, 560,027.61 and 224,539.86

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Solution

The fourth proportional to 405,851.88, 560,027.61 and 224,539.86 is: 309,838.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,851.88 : 560,027.61 = 224,539.86 : x
  2. Step 2: Convert to fraction form
    405,851.88/560,027.61 = 224,539.86/x
  3. Step 3: Cross multiply
    405,851.88x = 560,027.61 × 224,539.86
  4. Step 4: Simplify right side
    405,851.88x = 125,748,521,145.54
  5. Step 5: Solve for x
    x = 125,748,521,145.54/405,851.88
  6. Step 6: Final answer
    x = 309,838.46

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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.