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Finding the Fourth Proportional to 374,688, 517,069.85 and 204,922.53

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Solution

The fourth proportional to 374,688, 517,069.85 and 204,922.53 is: 282,793.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,688 : 517,069.85 = 204,922.53 : x
  2. Step 2: Convert to fraction form
    374,688/517,069.85 = 204,922.53/x
  3. Step 3: Cross multiply
    374,688x = 517,069.85 × 204,922.53
  4. Step 4: Simplify right side
    374,688x = 105,959,260,824.11
  5. Step 5: Solve for x
    x = 105,959,260,824.11/374,688
  6. Step 6: Final answer
    x = 282,793.31

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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.