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Finding the Fourth Proportional to 472,382.83, 708,360.99 and 135,346.33

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Solution

The fourth proportional to 472,382.83, 708,360.99 and 135,346.33 is: 202,958.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,382.83 : 708,360.99 = 135,346.33 : x
  2. Step 2: Convert to fraction form
    472,382.83/708,360.99 = 135,346.33/x
  3. Step 3: Cross multiply
    472,382.83x = 708,360.99 × 135,346.33
  4. Step 4: Simplify right side
    472,382.83x = 95,874,060,311.67
  5. Step 5: Solve for x
    x = 95,874,060,311.67/472,382.83
  6. Step 6: Final answer
    x = 202,958.39

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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.