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Finding the Fourth Proportional to 283,898.24, 425,939.52 and 242,093.12

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Solution

The fourth proportional to 283,898.24, 425,939.52 and 242,093.12 is: 363,218.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,898.24 : 425,939.52 = 242,093.12 : x
  2. Step 2: Convert to fraction form
    283,898.24/425,939.52 = 242,093.12/x
  3. Step 3: Cross multiply
    283,898.24x = 425,939.52 × 242,093.12
  4. Step 4: Simplify right side
    283,898.24x = 103,117,027,328.10
  5. Step 5: Solve for x
    x = 103,117,027,328.10/283,898.24
  6. Step 6: Final answer
    x = 363,218.27

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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.