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Finding the Fourth Proportional to 417,033.30, 626,133.15 and 259,569.30

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Solution

The fourth proportional to 417,033.30, 626,133.15 and 259,569.30 is: 389,716.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,033.30 : 626,133.15 = 259,569.30 : x
  2. Step 2: Convert to fraction form
    417,033.30/626,133.15 = 259,569.30/x
  3. Step 3: Cross multiply
    417,033.30x = 626,133.15 × 259,569.30
  4. Step 4: Simplify right side
    417,033.30x = 162,524,943,452.30
  5. Step 5: Solve for x
    x = 162,524,943,452.30/417,033.30
  6. Step 6: Final answer
    x = 389,716.94

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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.