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Finding the Fourth Proportional to 270,869.86, 406,698.45 and 200,011.06

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Solution

The fourth proportional to 270,869.86, 406,698.45 and 200,011.06 is: 300,307.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,869.86 : 406,698.45 = 200,011.06 : x
  2. Step 2: Convert to fraction form
    270,869.86/406,698.45 = 200,011.06/x
  3. Step 3: Cross multiply
    270,869.86x = 406,698.45 × 200,011.06
  4. Step 4: Simplify right side
    270,869.86x = 81,344,188,084.86
  5. Step 5: Solve for x
    x = 81,344,188,084.86/270,869.86
  6. Step 6: Final answer
    x = 300,307.27

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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.