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Finding the Fourth Proportional to 304,438.81, 456,648.75 and 144,629.75

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Solution

The fourth proportional to 304,438.81, 456,648.75 and 144,629.75 is: 216,940.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,438.81 : 456,648.75 = 144,629.75 : x
  2. Step 2: Convert to fraction form
    304,438.81/456,648.75 = 144,629.75/x
  3. Step 3: Cross multiply
    304,438.81x = 456,648.75 × 144,629.75
  4. Step 4: Simplify right side
    304,438.81x = 66,044,994,550.31
  5. Step 5: Solve for x
    x = 66,044,994,550.31/304,438.81
  6. Step 6: Final answer
    x = 216,940.13

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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.