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Finding the Fourth Proportional to 511,804.60, 767,843.02 and 174,844.76

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Solution

The fourth proportional to 511,804.60, 767,843.02 and 174,844.76 is: 262,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,804.60 : 767,843.02 = 174,844.76 : x
  2. Step 2: Convert to fraction form
    511,804.60/767,843.02 = 174,844.76/x
  3. Step 3: Cross multiply
    511,804.60x = 767,843.02 × 174,844.76
  4. Step 4: Simplify right side
    511,804.60x = 134,253,328,549.58
  5. Step 5: Solve for x
    x = 134,253,328,549.58/511,804.60
  6. Step 6: Final answer
    x = 262,313.64

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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.