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Finding the Fourth Proportional to 508,537.44, 762,842.64 and 134,556

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Solution

The fourth proportional to 508,537.44, 762,842.64 and 134,556 is: 201,843.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,537.44 : 762,842.64 = 134,556 : x
  2. Step 2: Convert to fraction form
    508,537.44/762,842.64 = 134,556/x
  3. Step 3: Cross multiply
    508,537.44x = 762,842.64 × 134,556
  4. Step 4: Simplify right side
    508,537.44x = 102,645,054,267.84
  5. Step 5: Solve for x
    x = 102,645,054,267.84/508,537.44
  6. Step 6: Final answer
    x = 201,843.65

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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.