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Finding the Fourth Proportional to 511,810.46, 767,833.84 and 151,973.32

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Solution

The fourth proportional to 511,810.46, 767,833.84 and 151,973.32 is: 227,995.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,810.46 : 767,833.84 = 151,973.32 : x
  2. Step 2: Convert to fraction form
    511,810.46/767,833.84 = 151,973.32/x
  3. Step 3: Cross multiply
    511,810.46x = 767,833.84 × 151,973.32
  4. Step 4: Simplify right side
    511,810.46x = 116,690,257,873.15
  5. Step 5: Solve for x
    x = 116,690,257,873.15/511,810.46
  6. Step 6: Final answer
    x = 227,995.06

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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.