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Finding the Fourth Proportional to 288,769.66, 433,228.32 and 111,229

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Solution

The fourth proportional to 288,769.66, 433,228.32 and 111,229 is: 166,871.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,769.66 : 433,228.32 = 111,229 : x
  2. Step 2: Convert to fraction form
    288,769.66/433,228.32 = 111,229/x
  3. Step 3: Cross multiply
    288,769.66x = 433,228.32 × 111,229
  4. Step 4: Simplify right side
    288,769.66x = 48,187,552,805.28
  5. Step 5: Solve for x
    x = 48,187,552,805.28/288,769.66
  6. Step 6: Final answer
    x = 166,871.94

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1.5x scale

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.