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Finding the Fourth Proportional to 461,147.22, 691,854.52 and 191,225.24

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Solution

The fourth proportional to 461,147.22, 691,854.52 and 191,225.24 is: 286,893.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,147.22 : 691,854.52 = 191,225.24 : x
  2. Step 2: Convert to fraction form
    461,147.22/691,854.52 = 191,225.24/x
  3. Step 3: Cross multiply
    461,147.22x = 691,854.52 × 191,225.24
  4. Step 4: Simplify right side
    461,147.22x = 132,300,046,632.09
  5. Step 5: Solve for x
    x = 132,300,046,632.09/461,147.22
  6. Step 6: Final answer
    x = 286,893.30

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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.