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Finding the Fourth Proportional to 500,282.82, 750,435.30 and 180,460.26

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Solution

The fourth proportional to 500,282.82, 750,435.30 and 180,460.26 is: 270,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,282.82 : 750,435.30 = 180,460.26 : x
  2. Step 2: Convert to fraction form
    500,282.82/750,435.30 = 180,460.26/x
  3. Step 3: Cross multiply
    500,282.82x = 750,435.30 × 180,460.26
  4. Step 4: Simplify right side
    500,282.82x = 135,423,749,351.18
  5. Step 5: Solve for x
    x = 135,423,749,351.18/500,282.82
  6. Step 6: Final answer
    x = 270,694.38

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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.