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Finding the Fourth Proportional to 773,718, 1,160,584.44 and 233,978.52

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Solution

The fourth proportional to 773,718, 1,160,584.44 and 233,978.52 is: 350,970.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,718 : 1,160,584.44 = 233,978.52 : x
  2. Step 2: Convert to fraction form
    773,718/1,160,584.44 = 233,978.52/x
  3. Step 3: Cross multiply
    773,718x = 1,160,584.44 × 233,978.52
  4. Step 4: Simplify right side
    773,718x = 271,551,829,606.23
  5. Step 5: Solve for x
    x = 271,551,829,606.23/773,718
  6. Step 6: Final answer
    x = 350,970.03

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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.