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Finding the Fourth Proportional to 561,850.40, 842,753.64 and 309,631.04

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Solution

The fourth proportional to 561,850.40, 842,753.64 and 309,631.04 is: 464,434.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,850.40 : 842,753.64 = 309,631.04 : x
  2. Step 2: Convert to fraction form
    561,850.40/842,753.64 = 309,631.04/x
  3. Step 3: Cross multiply
    561,850.40x = 842,753.64 × 309,631.04
  4. Step 4: Simplify right side
    561,850.40x = 260,942,686,016.99
  5. Step 5: Solve for x
    x = 260,942,686,016.99/561,850.40
  6. Step 6: Final answer
    x = 464,434.46

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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.