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Finding the Fourth Proportional to 312,466.89, 431,204.87 and 169,226.94

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Solution

The fourth proportional to 312,466.89, 431,204.87 and 169,226.94 is: 233,533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,466.89 : 431,204.87 = 169,226.94 : x
  2. Step 2: Convert to fraction form
    312,466.89/431,204.87 = 169,226.94/x
  3. Step 3: Cross multiply
    312,466.89x = 431,204.87 × 169,226.94
  4. Step 4: Simplify right side
    312,466.89x = 72,971,479,817.06
  5. Step 5: Solve for x
    x = 72,971,479,817.06/312,466.89
  6. Step 6: Final answer
    x = 233,533.48

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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.