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Finding the Fourth Proportional to 467,343, 644,933.34 and 255,375

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Solution

The fourth proportional to 467,343, 644,933.34 and 255,375 is: 352,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,343 : 644,933.34 = 255,375 : x
  2. Step 2: Convert to fraction form
    467,343/644,933.34 = 255,375/x
  3. Step 3: Cross multiply
    467,343x = 644,933.34 × 255,375
  4. Step 4: Simplify right side
    467,343x = 164,699,851,702.50
  5. Step 5: Solve for x
    x = 164,699,851,702.50/467,343
  6. Step 6: Final answer
    x = 352,417.50

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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.