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Finding the Fourth Proportional to 380,844.76, 525,778.14 and 260,167

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Solution

The fourth proportional to 380,844.76, 525,778.14 and 260,167 is: 359,175.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,844.76 : 525,778.14 = 260,167 : x
  2. Step 2: Convert to fraction form
    380,844.76/525,778.14 = 260,167/x
  3. Step 3: Cross multiply
    380,844.76x = 525,778.14 × 260,167
  4. Step 4: Simplify right side
    380,844.76x = 136,790,121,349.38
  5. Step 5: Solve for x
    x = 136,790,121,349.38/380,844.76
  6. Step 6: Final answer
    x = 359,175.54

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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.