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Finding the Fourth Proportional to 511,039.68, 766,606.86 and 173,967.06

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Solution

The fourth proportional to 511,039.68, 766,606.86 and 173,967.06 is: 260,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,039.68 : 766,606.86 = 173,967.06 : x
  2. Step 2: Convert to fraction form
    511,039.68/766,606.86 = 173,967.06/x
  3. Step 3: Cross multiply
    511,039.68x = 766,606.86 × 173,967.06
  4. Step 4: Simplify right side
    511,039.68x = 133,364,341,610.03
  5. Step 5: Solve for x
    x = 133,364,341,610.03/511,039.68
  6. Step 6: Final answer
    x = 260,966.71

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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.