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Finding the Fourth Proportional to 305,712.30, 458,568.45 and 193,737.90

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Solution

The fourth proportional to 305,712.30, 458,568.45 and 193,737.90 is: 290,606.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,712.30 : 458,568.45 = 193,737.90 : x
  2. Step 2: Convert to fraction form
    305,712.30/458,568.45 = 193,737.90/x
  3. Step 3: Cross multiply
    305,712.30x = 458,568.45 × 193,737.90
  4. Step 4: Simplify right side
    305,712.30x = 88,842,088,509.26
  5. Step 5: Solve for x
    x = 88,842,088,509.26/305,712.30
  6. Step 6: Final answer
    x = 290,606.85

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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.