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Finding the Fourth Proportional to 580,906.44, 869,494.86 and 310,358.49

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Solution

The fourth proportional to 580,906.44, 869,494.86 and 310,358.49 is: 464,541.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,906.44 : 869,494.86 = 310,358.49 : x
  2. Step 2: Convert to fraction form
    580,906.44/869,494.86 = 310,358.49/x
  3. Step 3: Cross multiply
    580,906.44x = 869,494.86 × 310,358.49
  4. Step 4: Simplify right side
    580,906.44x = 269,855,111,812.36
  5. Step 5: Solve for x
    x = 269,855,111,812.36/580,906.44
  6. Step 6: Final answer
    x = 464,541.44

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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.