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Finding the Fourth Proportional to 406,783.80, 610,169.16 and 126,301.32

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Solution

The fourth proportional to 406,783.80, 610,169.16 and 126,301.32 is: 189,449.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,783.80 : 610,169.16 = 126,301.32 : x
  2. Step 2: Convert to fraction form
    406,783.80/610,169.16 = 126,301.32/x
  3. Step 3: Cross multiply
    406,783.80x = 610,169.16 × 126,301.32
  4. Step 4: Simplify right side
    406,783.80x = 77,065,170,331.29
  5. Step 5: Solve for x
    x = 77,065,170,331.29/406,783.80
  6. Step 6: Final answer
    x = 189,449.95

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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.