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Finding the Fourth Proportional to 270,978.40, 406,494.64 and 93,461.92

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Solution

The fourth proportional to 270,978.40, 406,494.64 and 93,461.92 is: 140,202.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,978.40 : 406,494.64 = 93,461.92 : x
  2. Step 2: Convert to fraction form
    270,978.40/406,494.64 = 93,461.92/x
  3. Step 3: Cross multiply
    270,978.40x = 406,494.64 × 93,461.92
  4. Step 4: Simplify right side
    270,978.40x = 37,991,769,524.11
  5. Step 5: Solve for x
    x = 37,991,769,524.11/270,978.40
  6. Step 6: Final answer
    x = 140,202.21

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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.