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Finding the Fourth Proportional to 511,187.32, 767,122.26 and 178,763.32

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Solution

The fourth proportional to 511,187.32, 767,122.26 and 178,763.32 is: 268,264.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,187.32 : 767,122.26 = 178,763.32 : x
  2. Step 2: Convert to fraction form
    511,187.32/767,122.26 = 178,763.32/x
  3. Step 3: Cross multiply
    511,187.32x = 767,122.26 × 178,763.32
  4. Step 4: Simplify right side
    511,187.32x = 137,133,322,043.50
  5. Step 5: Solve for x
    x = 137,133,322,043.50/511,187.32
  6. Step 6: Final answer
    x = 268,264.33

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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.