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Finding the Fourth Proportional to 702,071.82, 968,857.74 and 379,782.54

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Solution

The fourth proportional to 702,071.82, 968,857.74 and 379,782.54 is: 524,099.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,071.82 : 968,857.74 = 379,782.54 : x
  2. Step 2: Convert to fraction form
    702,071.82/968,857.74 = 379,782.54/x
  3. Step 3: Cross multiply
    702,071.82x = 968,857.74 × 379,782.54
  4. Step 4: Simplify right side
    702,071.82x = 367,955,253,395.86
  5. Step 5: Solve for x
    x = 367,955,253,395.86/702,071.82
  6. Step 6: Final answer
    x = 524,099.16

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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.