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Finding the Fourth Proportional to 263,788.92, 364,083.66 and 242,534.52

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Solution

The fourth proportional to 263,788.92, 364,083.66 and 242,534.52 is: 334,748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,788.92 : 364,083.66 = 242,534.52 : x
  2. Step 2: Convert to fraction form
    263,788.92/364,083.66 = 242,534.52/x
  3. Step 3: Cross multiply
    263,788.92x = 364,083.66 × 242,534.52
  4. Step 4: Simplify right side
    263,788.92x = 88,302,855,717.94
  5. Step 5: Solve for x
    x = 88,302,855,717.94/263,788.92
  6. Step 6: Final answer
    x = 334,748.16

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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.