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Finding the Fourth Proportional to 834,794.68, 1,150,738.38 and 511,906

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Solution

The fourth proportional to 834,794.68, 1,150,738.38 and 511,906 is: 705,646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,794.68 : 1,150,738.38 = 511,906 : x
  2. Step 2: Convert to fraction form
    834,794.68/1,150,738.38 = 511,906/x
  3. Step 3: Cross multiply
    834,794.68x = 1,150,738.38 × 511,906
  4. Step 4: Simplify right side
    834,794.68x = 589,069,881,152.28
  5. Step 5: Solve for x
    x = 589,069,881,152.28/834,794.68
  6. Step 6: Final answer
    x = 705,646.42

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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.