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Finding the Fourth Proportional to 511,845.48, 767,515.50 and 156,773.88

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Solution

The fourth proportional to 511,845.48, 767,515.50 and 156,773.88 is: 235,083.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,845.48 : 767,515.50 = 156,773.88 : x
  2. Step 2: Convert to fraction form
    511,845.48/767,515.50 = 156,773.88/x
  3. Step 3: Cross multiply
    511,845.48x = 767,515.50 × 156,773.88
  4. Step 4: Simplify right side
    511,845.48x = 120,326,382,895.14
  5. Step 5: Solve for x
    x = 120,326,382,895.14/511,845.48
  6. Step 6: Final answer
    x = 235,083.41

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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.