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Finding the Fourth Proportional to 702,114.63, 968,917.32 and 379,824

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Solution

The fourth proportional to 702,114.63, 968,917.32 and 379,824 is: 524,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,114.63 : 968,917.32 = 379,824 : x
  2. Step 2: Convert to fraction form
    702,114.63/968,917.32 = 379,824/x
  3. Step 3: Cross multiply
    702,114.63x = 968,917.32 × 379,824
  4. Step 4: Simplify right side
    702,114.63x = 368,018,052,151.68
  5. Step 5: Solve for x
    x = 368,018,052,151.68/702,114.63
  6. Step 6: Final answer
    x = 524,156.65

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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.