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Finding the Fourth Proportional to 578,977.86, 868,714.65 and 242,097.24

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Solution

The fourth proportional to 578,977.86, 868,714.65 and 242,097.24 is: 363,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,977.86 : 868,714.65 = 242,097.24 : x
  2. Step 2: Convert to fraction form
    578,977.86/868,714.65 = 242,097.24/x
  3. Step 3: Cross multiply
    578,977.86x = 868,714.65 × 242,097.24
  4. Step 4: Simplify right side
    578,977.86x = 210,313,419,112.57
  5. Step 5: Solve for x
    x = 210,313,419,112.57/578,977.86
  6. Step 6: Final answer
    x = 363,249.50

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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.