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Finding the Fourth Proportional to 297,741.68, 410,878.54 and 161,777.71

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Solution

The fourth proportional to 297,741.68, 410,878.54 and 161,777.71 is: 223,250.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,741.68 : 410,878.54 = 161,777.71 : x
  2. Step 2: Convert to fraction form
    297,741.68/410,878.54 = 161,777.71/x
  3. Step 3: Cross multiply
    297,741.68x = 410,878.54 × 161,777.71
  4. Step 4: Simplify right side
    297,741.68x = 66,470,989,289.34
  5. Step 5: Solve for x
    x = 66,470,989,289.34/297,741.68
  6. Step 6: Final answer
    x = 223,250.53

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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.