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Finding the Fourth Proportional to 465,716.84, 698,077.89 and 265,606.34

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Solution

The fourth proportional to 465,716.84, 698,077.89 and 265,606.34 is: 398,125.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,716.84 : 698,077.89 = 265,606.34 : x
  2. Step 2: Convert to fraction form
    465,716.84/698,077.89 = 265,606.34/x
  3. Step 3: Cross multiply
    465,716.84x = 698,077.89 × 265,606.34
  4. Step 4: Simplify right side
    465,716.84x = 185,413,909,907.43
  5. Step 5: Solve for x
    x = 185,413,909,907.43/465,716.84
  6. Step 6: Final answer
    x = 398,125.85

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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.