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Finding the Fourth Proportional to 522,241.84, 783,319.02 and 206,614

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Solution

The fourth proportional to 522,241.84, 783,319.02 and 206,614 is: 309,903.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,241.84 : 783,319.02 = 206,614 : x
  2. Step 2: Convert to fraction form
    522,241.84/783,319.02 = 206,614/x
  3. Step 3: Cross multiply
    522,241.84x = 783,319.02 × 206,614
  4. Step 4: Simplify right side
    522,241.84x = 161,844,675,998.28
  5. Step 5: Solve for x
    x = 161,844,675,998.28/522,241.84
  6. Step 6: Final answer
    x = 309,903.70

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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.