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Finding the Fourth Proportional to 305,463.99, 457,584.57 and 145,695.45

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Solution

The fourth proportional to 305,463.99, 457,584.57 and 145,695.45 is: 218,251.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,463.99 : 457,584.57 = 145,695.45 : x
  2. Step 2: Convert to fraction form
    305,463.99/457,584.57 = 145,695.45/x
  3. Step 3: Cross multiply
    305,463.99x = 457,584.57 × 145,695.45
  4. Step 4: Simplify right side
    305,463.99x = 66,667,989,839.21
  5. Step 5: Solve for x
    x = 66,667,989,839.21/305,463.99
  6. Step 6: Final answer
    x = 218,251.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.