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Finding the Fourth Proportional to 834,793.68, 1,150,737 and 511,905

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Solution

The fourth proportional to 834,793.68, 1,150,737 and 511,905 is: 705,645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,793.68 : 1,150,737 = 511,905 : x
  2. Step 2: Convert to fraction form
    834,793.68/1,150,737 = 511,905/x
  3. Step 3: Cross multiply
    834,793.68x = 1,150,737 × 511,905
  4. Step 4: Simplify right side
    834,793.68x = 589,068,023,985
  5. Step 5: Solve for x
    x = 589,068,023,985/834,793.68
  6. Step 6: Final answer
    x = 705,645.05

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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.