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Finding the Fourth Proportional to 354,944.16, 489,905.84 and 234,107.04

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Solution

The fourth proportional to 354,944.16, 489,905.84 and 234,107.04 is: 323,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,944.16 : 489,905.84 = 234,107.04 : x
  2. Step 2: Convert to fraction form
    354,944.16/489,905.84 = 234,107.04/x
  3. Step 3: Cross multiply
    354,944.16x = 489,905.84 × 234,107.04
  4. Step 4: Simplify right side
    354,944.16x = 114,690,406,081.11
  5. Step 5: Solve for x
    x = 114,690,406,081.11/354,944.16
  6. Step 6: Final answer
    x = 323,122.39

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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.