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Finding the Fourth Proportional to 467,886.42, 702,141.08 and 254,708.14

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Solution

The fourth proportional to 467,886.42, 702,141.08 and 254,708.14 is: 382,231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,886.42 : 702,141.08 = 254,708.14 : x
  2. Step 2: Convert to fraction form
    467,886.42/702,141.08 = 254,708.14/x
  3. Step 3: Cross multiply
    467,886.42x = 702,141.08 × 254,708.14
  4. Step 4: Simplify right side
    467,886.42x = 178,841,048,504.39
  5. Step 5: Solve for x
    x = 178,841,048,504.39/467,886.42
  6. Step 6: Final answer
    x = 382,231.76

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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.