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Finding the Fourth Proportional to 304,822.70, 457,529.16 and 147,161.78

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Solution

The fourth proportional to 304,822.70, 457,529.16 and 147,161.78 is: 220,885.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,822.70 : 457,529.16 = 147,161.78 : x
  2. Step 2: Convert to fraction form
    304,822.70/457,529.16 = 147,161.78/x
  3. Step 3: Cross multiply
    304,822.70x = 457,529.16 × 147,161.78
  4. Step 4: Simplify right side
    304,822.70x = 67,330,805,587.50
  5. Step 5: Solve for x
    x = 67,330,805,587.50/304,822.70
  6. Step 6: Final answer
    x = 220,885.14

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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.