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Finding the Fourth Proportional to 511,191.84, 767,137.20 and 178,767.84

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Solution

The fourth proportional to 511,191.84, 767,137.20 and 178,767.84 is: 268,273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,191.84 : 767,137.20 = 178,767.84 : x
  2. Step 2: Convert to fraction form
    511,191.84/767,137.20 = 178,767.84/x
  3. Step 3: Cross multiply
    511,191.84x = 767,137.20 × 178,767.84
  4. Step 4: Simplify right side
    511,191.84x = 137,139,460,227.65
  5. Step 5: Solve for x
    x = 137,139,460,227.65/511,191.84
  6. Step 6: Final answer
    x = 268,273.96

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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.