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Finding the Fourth Proportional to 270,709.34, 406,463.19 and 151,000.19

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Solution

The fourth proportional to 270,709.34, 406,463.19 and 151,000.19 is: 226,722.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,709.34 : 406,463.19 = 151,000.19 : x
  2. Step 2: Convert to fraction form
    270,709.34/406,463.19 = 151,000.19/x
  3. Step 3: Cross multiply
    270,709.34x = 406,463.19 × 151,000.19
  4. Step 4: Simplify right side
    270,709.34x = 61,376,016,885.69
  5. Step 5: Solve for x
    x = 61,376,016,885.69/270,709.34
  6. Step 6: Final answer
    x = 226,722.94

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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.