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Finding the Fourth Proportional to 307,577.70, 461,366.55 and 188,864.10

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Solution

The fourth proportional to 307,577.70, 461,366.55 and 188,864.10 is: 283,296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,577.70 : 461,366.55 = 188,864.10 : x
  2. Step 2: Convert to fraction form
    307,577.70/461,366.55 = 188,864.10/x
  3. Step 3: Cross multiply
    307,577.70x = 461,366.55 × 188,864.10
  4. Step 4: Simplify right side
    307,577.70x = 87,135,578,235.86
  5. Step 5: Solve for x
    x = 87,135,578,235.86/307,577.70
  6. Step 6: Final answer
    x = 283,296.15

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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.