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Finding the Fourth Proportional to 305,213.70, 457,496.55 and 147,339.30

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Solution

The fourth proportional to 305,213.70, 457,496.55 and 147,339.30 is: 220,852.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,213.70 : 457,496.55 = 147,339.30 : x
  2. Step 2: Convert to fraction form
    305,213.70/457,496.55 = 147,339.30/x
  3. Step 3: Cross multiply
    305,213.70x = 457,496.55 × 147,339.30
  4. Step 4: Simplify right side
    305,213.70x = 67,407,221,429.42
  5. Step 5: Solve for x
    x = 67,407,221,429.42/305,213.70
  6. Step 6: Final answer
    x = 220,852.54

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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.