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Finding the Fourth Proportional to 550,421.22, 825,713.91 and 195,405.51

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Solution

The fourth proportional to 550,421.22, 825,713.91 and 195,405.51 is: 293,137.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,421.22 : 825,713.91 = 195,405.51 : x
  2. Step 2: Convert to fraction form
    550,421.22/825,713.91 = 195,405.51/x
  3. Step 3: Cross multiply
    550,421.22x = 825,713.91 × 195,405.51
  4. Step 4: Simplify right side
    550,421.22x = 161,349,046,720.62
  5. Step 5: Solve for x
    x = 161,349,046,720.62/550,421.22
  6. Step 6: Final answer
    x = 293,137.40

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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.