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Finding the Fourth Proportional to 821,940.24, 1,133,957.16 and 515,838

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Solution

The fourth proportional to 821,940.24, 1,133,957.16 and 515,838 is: 711,655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,940.24 : 1,133,957.16 = 515,838 : x
  2. Step 2: Convert to fraction form
    821,940.24/1,133,957.16 = 515,838/x
  3. Step 3: Cross multiply
    821,940.24x = 1,133,957.16 × 515,838
  4. Step 4: Simplify right side
    821,940.24x = 584,938,193,500.08
  5. Step 5: Solve for x
    x = 584,938,193,500.08/821,940.24
  6. Step 6: Final answer
    x = 711,655.38

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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.