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Finding the Fourth Proportional to 279,657.24, 419,323.86 and 191,017.86

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Solution

The fourth proportional to 279,657.24, 419,323.86 and 191,017.86 is: 286,416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,657.24 : 419,323.86 = 191,017.86 : x
  2. Step 2: Convert to fraction form
    279,657.24/419,323.86 = 191,017.86/x
  3. Step 3: Cross multiply
    279,657.24x = 419,323.86 × 191,017.86
  4. Step 4: Simplify right side
    279,657.24x = 80,098,346,384.14
  5. Step 5: Solve for x
    x = 80,098,346,384.14/279,657.24
  6. Step 6: Final answer
    x = 286,416.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.