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Finding the Fourth Proportional to 270,722.62, 406,483.13 and 151,013.47

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Solution

The fourth proportional to 270,722.62, 406,483.13 and 151,013.47 is: 226,742.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,722.62 : 406,483.13 = 151,013.47 : x
  2. Step 2: Convert to fraction form
    270,722.62/406,483.13 = 151,013.47/x
  3. Step 3: Cross multiply
    270,722.62x = 406,483.13 × 151,013.47
  4. Step 4: Simplify right side
    270,722.62x = 61,384,427,957.76
  5. Step 5: Solve for x
    x = 61,384,427,957.76/270,722.62
  6. Step 6: Final answer
    x = 226,742.89

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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.