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Finding the Fourth Proportional to 339,364.10, 468,323.42 and 188,461.10

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Solution

The fourth proportional to 339,364.10, 468,323.42 and 188,461.10 is: 260,076.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,364.10 : 468,323.42 = 188,461.10 : x
  2. Step 2: Convert to fraction form
    339,364.10/468,323.42 = 188,461.10/x
  3. Step 3: Cross multiply
    339,364.10x = 468,323.42 × 188,461.10
  4. Step 4: Simplify right side
    339,364.10x = 88,260,747,117.47
  5. Step 5: Solve for x
    x = 88,260,747,117.47/339,364.10
  6. Step 6: Final answer
    x = 260,076.85

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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.