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Finding the Fourth Proportional to 511,299, 767,061 and 151,441.92

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Solution

The fourth proportional to 511,299, 767,061 and 151,441.92 is: 227,196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,299 : 767,061 = 151,441.92 : x
  2. Step 2: Convert to fraction form
    511,299/767,061 = 151,441.92/x
  3. Step 3: Cross multiply
    511,299x = 767,061 × 151,441.92
  4. Step 4: Simplify right side
    511,299x = 116,165,190,597.12
  5. Step 5: Solve for x
    x = 116,165,190,597.12/511,299
  6. Step 6: Final answer
    x = 227,196.20

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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.