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Finding the Fourth Proportional to 343,159.44, 472,968.60 and 228,232.56

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Solution

The fourth proportional to 343,159.44, 472,968.60 and 228,232.56 is: 314,567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,159.44 : 472,968.60 = 228,232.56 : x
  2. Step 2: Convert to fraction form
    343,159.44/472,968.60 = 228,232.56/x
  3. Step 3: Cross multiply
    343,159.44x = 472,968.60 × 228,232.56
  4. Step 4: Simplify right side
    343,159.44x = 107,946,834,377.62
  5. Step 5: Solve for x
    x = 107,946,834,377.62/343,159.44
  6. Step 6: Final answer
    x = 314,567.58

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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.