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Finding the Fourth Proportional to 406,854.21, 610,197.92 and 154,047.48

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Solution

The fourth proportional to 406,854.21, 610,197.92 and 154,047.48 is: 231,039.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,854.21 : 610,197.92 = 154,047.48 : x
  2. Step 2: Convert to fraction form
    406,854.21/610,197.92 = 154,047.48/x
  3. Step 3: Cross multiply
    406,854.21x = 610,197.92 × 154,047.48
  4. Step 4: Simplify right side
    406,854.21x = 93,999,451,107.00
  5. Step 5: Solve for x
    x = 93,999,451,107.00/406,854.21
  6. Step 6: Final answer
    x = 231,039.64

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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.