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Finding the Fourth Proportional to 270,612.72, 405,530.82 and 152,034.66

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Solution

The fourth proportional to 270,612.72, 405,530.82 and 152,034.66 is: 227,833.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,612.72 : 405,530.82 = 152,034.66 : x
  2. Step 2: Convert to fraction form
    270,612.72/405,530.82 = 152,034.66/x
  3. Step 3: Cross multiply
    270,612.72x = 405,530.82 × 152,034.66
  4. Step 4: Simplify right side
    270,612.72x = 61,654,740,338.22
  5. Step 5: Solve for x
    x = 61,654,740,338.22/270,612.72
  6. Step 6: Final answer
    x = 227,833.86

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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.