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Finding the Fourth Proportional to 374,821.60, 517,258.56 and 205,058.56

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Solution

The fourth proportional to 374,821.60, 517,258.56 and 205,058.56 is: 282,983.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,821.60 : 517,258.56 = 205,058.56 : x
  2. Step 2: Convert to fraction form
    374,821.60/517,258.56 = 205,058.56/x
  3. Step 3: Cross multiply
    374,821.60x = 517,258.56 × 205,058.56
  4. Step 4: Simplify right side
    374,821.60x = 106,068,295,461.27
  5. Step 5: Solve for x
    x = 106,068,295,461.27/374,821.60
  6. Step 6: Final answer
    x = 282,983.41

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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.