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Finding the Fourth Proportional to 369,652.80, 510,123.92 and 204,086.10

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Solution

The fourth proportional to 369,652.80, 510,123.92 and 204,086.10 is: 281,640.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,652.80 : 510,123.92 = 204,086.10 : x
  2. Step 2: Convert to fraction form
    369,652.80/510,123.92 = 204,086.10/x
  3. Step 3: Cross multiply
    369,652.80x = 510,123.92 × 204,086.10
  4. Step 4: Simplify right side
    369,652.80x = 104,109,200,329.08
  5. Step 5: Solve for x
    x = 104,109,200,329.08/369,652.80
  6. Step 6: Final answer
    x = 281,640.50

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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.