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Finding the Fourth Proportional to 468,193.47, 646,104.92 and 253,337.33

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Solution

The fourth proportional to 468,193.47, 646,104.92 and 253,337.33 is: 349,604.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,193.47 : 646,104.92 = 253,337.33 : x
  2. Step 2: Convert to fraction form
    468,193.47/646,104.92 = 253,337.33/x
  3. Step 3: Cross multiply
    468,193.47x = 646,104.92 × 253,337.33
  4. Step 4: Simplify right side
    468,193.47x = 163,682,490,835.45
  5. Step 5: Solve for x
    x = 163,682,490,835.45/468,193.47
  6. Step 6: Final answer
    x = 349,604.39

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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.