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Finding the Fourth Proportional to 468,196.20, 646,109.46 and 253,339.92

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Solution

The fourth proportional to 468,196.20, 646,109.46 and 253,339.92 is: 349,608.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,196.20 : 646,109.46 = 253,339.92 : x
  2. Step 2: Convert to fraction form
    468,196.20/646,109.46 = 253,339.92/x
  3. Step 3: Cross multiply
    468,196.20x = 646,109.46 × 253,339.92
  4. Step 4: Simplify right side
    468,196.20x = 163,685,318,907.64
  5. Step 5: Solve for x
    x = 163,685,318,907.64/468,196.20
  6. Step 6: Final answer
    x = 349,608.39

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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.