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Finding the Fourth Proportional to 312,241.84, 430,914.54 and 176,227.48

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Solution

The fourth proportional to 312,241.84, 430,914.54 and 176,227.48 is: 243,205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,241.84 : 430,914.54 = 176,227.48 : x
  2. Step 2: Convert to fraction form
    312,241.84/430,914.54 = 176,227.48/x
  3. Step 3: Cross multiply
    312,241.84x = 430,914.54 × 176,227.48
  4. Step 4: Simplify right side
    312,241.84x = 75,938,983,479.56
  5. Step 5: Solve for x
    x = 75,938,983,479.56/312,241.84
  6. Step 6: Final answer
    x = 243,205.66

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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.