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Finding the Fourth Proportional to 297,784.26, 410,942.26 and 163,648.26

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Solution

The fourth proportional to 297,784.26, 410,942.26 and 163,648.26 is: 225,834.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,784.26 : 410,942.26 = 163,648.26 : x
  2. Step 2: Convert to fraction form
    297,784.26/410,942.26 = 163,648.26/x
  3. Step 3: Cross multiply
    297,784.26x = 410,942.26 × 163,648.26
  4. Step 4: Simplify right side
    297,784.26x = 67,249,985,809.47
  5. Step 5: Solve for x
    x = 67,249,985,809.47/297,784.26
  6. Step 6: Final answer
    x = 225,834.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.