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Finding the Fourth Proportional to 450,920.88, 622,271.40 and 259,947.16

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Solution

The fourth proportional to 450,920.88, 622,271.40 and 259,947.16 is: 358,727.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,920.88 : 622,271.40 = 259,947.16 : x
  2. Step 2: Convert to fraction form
    450,920.88/622,271.40 = 259,947.16/x
  3. Step 3: Cross multiply
    450,920.88x = 622,271.40 × 259,947.16
  4. Step 4: Simplify right side
    450,920.88x = 161,757,683,179.22
  5. Step 5: Solve for x
    x = 161,757,683,179.22/450,920.88
  6. Step 6: Final answer
    x = 358,727.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.