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Finding the Fourth Proportional to 297,376.05, 410,386.32 and 161,415.66

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Solution

The fourth proportional to 297,376.05, 410,386.32 and 161,415.66 is: 222,757.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,376.05 : 410,386.32 = 161,415.66 : x
  2. Step 2: Convert to fraction form
    297,376.05/410,386.32 = 161,415.66/x
  3. Step 3: Cross multiply
    297,376.05x = 410,386.32 × 161,415.66
  4. Step 4: Simplify right side
    297,376.05x = 66,242,778,697.77
  5. Step 5: Solve for x
    x = 66,242,778,697.77/297,376.05
  6. Step 6: Final answer
    x = 222,757.61

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1.5x scale

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.