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Finding the Fourth Proportional to 349,538, 524,308.92 and 86,882

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Solution

The fourth proportional to 349,538, 524,308.92 and 86,882 is: 130,323.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,538 : 524,308.92 = 86,882 : x
  2. Step 2: Convert to fraction form
    349,538/524,308.92 = 86,882/x
  3. Step 3: Cross multiply
    349,538x = 524,308.92 × 86,882
  4. Step 4: Simplify right side
    349,538x = 45,553,007,587.44
  5. Step 5: Solve for x
    x = 45,553,007,587.44/349,538
  6. Step 6: Final answer
    x = 130,323.48

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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.