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Finding the Fourth Proportional to 511,597.52, 767,265.38 and 151,684.21

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Solution

The fourth proportional to 511,597.52, 767,265.38 and 151,684.21 is: 227,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,597.52 : 767,265.38 = 151,684.21 : x
  2. Step 2: Convert to fraction form
    511,597.52/767,265.38 = 151,684.21/x
  3. Step 3: Cross multiply
    511,597.52x = 767,265.38 × 151,684.21
  4. Step 4: Simplify right side
    511,597.52x = 116,382,043,025.65
  5. Step 5: Solve for x
    x = 116,382,043,025.65/511,597.52
  6. Step 6: Final answer
    x = 227,487.50

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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.