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Finding the Fourth Proportional to 304,438.31, 456,648 and 144,629.25

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Solution

The fourth proportional to 304,438.31, 456,648 and 144,629.25 is: 216,939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,438.31 : 456,648 = 144,629.25 : x
  2. Step 2: Convert to fraction form
    304,438.31/456,648 = 144,629.25/x
  3. Step 3: Cross multiply
    304,438.31x = 456,648 × 144,629.25
  4. Step 4: Simplify right side
    304,438.31x = 66,044,657,754
  5. Step 5: Solve for x
    x = 66,044,657,754/304,438.31
  6. Step 6: Final answer
    x = 216,939.38

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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.