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Finding the Fourth Proportional to 472,850.54, 652,532.78 and 257,990.48

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Solution

The fourth proportional to 472,850.54, 652,532.78 and 257,990.48 is: 356,026.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,850.54 : 652,532.78 = 257,990.48 : x
  2. Step 2: Convert to fraction form
    472,850.54/652,532.78 = 257,990.48/x
  3. Step 3: Cross multiply
    472,850.54x = 652,532.78 × 257,990.48
  4. Step 4: Simplify right side
    472,850.54x = 168,347,245,127.93
  5. Step 5: Solve for x
    x = 168,347,245,127.93/472,850.54
  6. Step 6: Final answer
    x = 356,026.34

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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.