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Finding the Fourth Proportional to 786,701, 1,180,926.84 and 407,520.56

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Solution

The fourth proportional to 786,701, 1,180,926.84 and 407,520.56 is: 611,734.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,701 : 1,180,926.84 = 407,520.56 : x
  2. Step 2: Convert to fraction form
    786,701/1,180,926.84 = 407,520.56/x
  3. Step 3: Cross multiply
    786,701x = 1,180,926.84 × 407,520.56
  4. Step 4: Simplify right side
    786,701x = 481,251,967,155.83
  5. Step 5: Solve for x
    x = 481,251,967,155.83/786,701
  6. Step 6: Final answer
    x = 611,734.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.