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Finding the Fourth Proportional to 303,912.30, 455,868.45 and 146,448.30

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Solution

The fourth proportional to 303,912.30, 455,868.45 and 146,448.30 is: 219,672.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,912.30 : 455,868.45 = 146,448.30 : x
  2. Step 2: Convert to fraction form
    303,912.30/455,868.45 = 146,448.30/x
  3. Step 3: Cross multiply
    303,912.30x = 455,868.45 × 146,448.30
  4. Step 4: Simplify right side
    303,912.30x = 66,761,159,526.14
  5. Step 5: Solve for x
    x = 66,761,159,526.14/303,912.30
  6. Step 6: Final answer
    x = 219,672.45

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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.