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Finding the Fourth Proportional to 270,814.40, 374,437.28 and 237,184

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Solution

The fourth proportional to 270,814.40, 374,437.28 and 237,184 is: 327,938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,814.40 : 374,437.28 = 237,184 : x
  2. Step 2: Convert to fraction form
    270,814.40/374,437.28 = 237,184/x
  3. Step 3: Cross multiply
    270,814.40x = 374,437.28 × 237,184
  4. Step 4: Simplify right side
    270,814.40x = 88,810,531,819.52
  5. Step 5: Solve for x
    x = 88,810,531,819.52/270,814.40
  6. Step 6: Final answer
    x = 327,938.74

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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.