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Finding the Fourth Proportional to 270,783.55, 406,260.30 and 162,837.16

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Solution

The fourth proportional to 270,783.55, 406,260.30 and 162,837.16 is: 244,306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,783.55 : 406,260.30 = 162,837.16 : x
  2. Step 2: Convert to fraction form
    270,783.55/406,260.30 = 162,837.16/x
  3. Step 3: Cross multiply
    270,783.55x = 406,260.30 × 162,837.16
  4. Step 4: Simplify right side
    270,783.55x = 66,154,273,472.75
  5. Step 5: Solve for x
    x = 66,154,273,472.75/270,783.55
  6. Step 6: Final answer
    x = 244,306.84

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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.