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Finding the Fourth Proportional to 267,580.48, 401,437.66 and 188,848.48

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Solution

The fourth proportional to 267,580.48, 401,437.66 and 188,848.48 is: 283,319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,580.48 : 401,437.66 = 188,848.48 : x
  2. Step 2: Convert to fraction form
    267,580.48/401,437.66 = 188,848.48/x
  3. Step 3: Cross multiply
    267,580.48x = 401,437.66 × 188,848.48
  4. Step 4: Simplify right side
    267,580.48x = 75,810,891,905.76
  5. Step 5: Solve for x
    x = 75,810,891,905.76/267,580.48
  6. Step 6: Final answer
    x = 283,319.96

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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.