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Finding the Fourth Proportional to 270,713.51, 406,469.46 and 151,004.35

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Solution

The fourth proportional to 270,713.51, 406,469.46 and 151,004.35 is: 226,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,713.51 : 406,469.46 = 151,004.35 : x
  2. Step 2: Convert to fraction form
    270,713.51/406,469.46 = 151,004.35/x
  3. Step 3: Cross multiply
    270,713.51x = 406,469.46 × 151,004.35
  4. Step 4: Simplify right side
    270,713.51x = 61,378,656,827.10
  5. Step 5: Solve for x
    x = 61,378,656,827.10/270,713.51
  6. Step 6: Final answer
    x = 226,729.20

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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.