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Finding the Fourth Proportional to 731,958, 1,097,175.78 and 282,987.24

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Solution

The fourth proportional to 731,958, 1,097,175.78 and 282,987.24 is: 424,186.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,958 : 1,097,175.78 = 282,987.24 : x
  2. Step 2: Convert to fraction form
    731,958/1,097,175.78 = 282,987.24/x
  3. Step 3: Cross multiply
    731,958x = 1,097,175.78 × 282,987.24
  4. Step 4: Simplify right side
    731,958x = 310,486,745,777.05
  5. Step 5: Solve for x
    x = 310,486,745,777.05/731,958
  6. Step 6: Final answer
    x = 424,186.56

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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.