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Finding the Fourth Proportional to 702,695.54, 969,711.80 and 380,398.56

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Solution

The fourth proportional to 702,695.54, 969,711.80 and 380,398.56 is: 524,945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,695.54 : 969,711.80 = 380,398.56 : x
  2. Step 2: Convert to fraction form
    702,695.54/969,711.80 = 380,398.56/x
  3. Step 3: Cross multiply
    702,695.54x = 969,711.80 × 380,398.56
  4. Step 4: Simplify right side
    702,695.54x = 368,876,970,433.02
  5. Step 5: Solve for x
    x = 368,876,970,433.02/702,695.54
  6. Step 6: Final answer
    x = 524,945.66

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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.