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Finding the Fourth Proportional to 305,874.30, 457,936.65 and 305,874.30

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Solution

The fourth proportional to 305,874.30, 457,936.65 and 305,874.30 is: 457,936.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,874.30 : 457,936.65 = 305,874.30 : x
  2. Step 2: Convert to fraction form
    305,874.30/457,936.65 = 305,874.30/x
  3. Step 3: Cross multiply
    305,874.30x = 457,936.65 × 305,874.30
  4. Step 4: Simplify right side
    305,874.30x = 140,071,052,263.10
  5. Step 5: Solve for x
    x = 140,071,052,263.10/305,874.30
  6. Step 6: Final answer
    x = 457,936.65

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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.