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Finding the Fourth Proportional to 511,042.68, 766,611.36 and 173,970.06

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Solution

The fourth proportional to 511,042.68, 766,611.36 and 173,970.06 is: 260,971.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,042.68 : 766,611.36 = 173,970.06 : x
  2. Step 2: Convert to fraction form
    511,042.68/766,611.36 = 173,970.06/x
  3. Step 3: Cross multiply
    511,042.68x = 766,611.36 × 173,970.06
  4. Step 4: Simplify right side
    511,042.68x = 133,367,424,295.88
  5. Step 5: Solve for x
    x = 133,367,424,295.88/511,042.68
  6. Step 6: Final answer
    x = 260,971.21

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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.