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Finding the Fourth Proportional to 531,215.75, 797,058.82 and 278,436.15

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Solution

The fourth proportional to 531,215.75, 797,058.82 and 278,436.15 is: 417,777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,215.75 : 797,058.82 = 278,436.15 : x
  2. Step 2: Convert to fraction form
    531,215.75/797,058.82 = 278,436.15/x
  3. Step 3: Cross multiply
    531,215.75x = 797,058.82 × 278,436.15
  4. Step 4: Simplify right side
    531,215.75x = 221,929,989,512.39
  5. Step 5: Solve for x
    x = 221,929,989,512.39/531,215.75
  6. Step 6: Final answer
    x = 417,777.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.