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Finding the Fourth Proportional to 270,895.72, 406,497.18 and 146,233.96

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Solution

The fourth proportional to 270,895.72, 406,497.18 and 146,233.96 is: 219,433.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,895.72 : 406,497.18 = 146,233.96 : x
  2. Step 2: Convert to fraction form
    270,895.72/406,497.18 = 146,233.96/x
  3. Step 3: Cross multiply
    270,895.72x = 406,497.18 × 146,233.96
  4. Step 4: Simplify right side
    270,895.72x = 59,443,692,360.23
  5. Step 5: Solve for x
    x = 59,443,692,360.23/270,895.72
  6. Step 6: Final answer
    x = 219,433.86

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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.