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Finding the Fourth Proportional to 508,099.75, 701,127.12 and 293,309.01

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Solution

The fourth proportional to 508,099.75, 701,127.12 and 293,309.01 is: 404,737.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,099.75 : 701,127.12 = 293,309.01 : x
  2. Step 2: Convert to fraction form
    508,099.75/701,127.12 = 293,309.01/x
  3. Step 3: Cross multiply
    508,099.75x = 701,127.12 × 293,309.01
  4. Step 4: Simplify right side
    508,099.75x = 205,646,902,551.26
  5. Step 5: Solve for x
    x = 205,646,902,551.26/508,099.75
  6. Step 6: Final answer
    x = 404,737.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.