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Finding the Fourth Proportional to 270,180.34, 404,938.30 and 151,602.55

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Solution

The fourth proportional to 270,180.34, 404,938.30 and 151,602.55 is: 227,217.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,180.34 : 404,938.30 = 151,602.55 : x
  2. Step 2: Convert to fraction form
    270,180.34/404,938.30 = 151,602.55/x
  3. Step 3: Cross multiply
    270,180.34x = 404,938.30 × 151,602.55
  4. Step 4: Simplify right side
    270,180.34x = 61,389,678,872.67
  5. Step 5: Solve for x
    x = 61,389,678,872.67/270,180.34
  6. Step 6: Final answer
    x = 227,217.42

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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.