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Finding the Fourth Proportional to 731,924.36, 1,097,044 and 282,446.45

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Solution

The fourth proportional to 731,924.36, 1,097,044 and 282,446.45 is: 423,344.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,924.36 : 1,097,044 = 282,446.45 : x
  2. Step 2: Convert to fraction form
    731,924.36/1,097,044 = 282,446.45/x
  3. Step 3: Cross multiply
    731,924.36x = 1,097,044 × 282,446.45
  4. Step 4: Simplify right side
    731,924.36x = 309,856,183,293.80
  5. Step 5: Solve for x
    x = 309,856,183,293.80/731,924.36
  6. Step 6: Final answer
    x = 423,344.54

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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.