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Finding the Fourth Proportional to 307,745.82, 461,572.47 and 97,356.42

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Solution

The fourth proportional to 307,745.82, 461,572.47 and 97,356.42 is: 146,020.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,745.82 : 461,572.47 = 97,356.42 : x
  2. Step 2: Convert to fraction form
    307,745.82/461,572.47 = 97,356.42/x
  3. Step 3: Cross multiply
    307,745.82x = 461,572.47 × 97,356.42
  4. Step 4: Simplify right side
    307,745.82x = 44,937,043,249.76
  5. Step 5: Solve for x
    x = 44,937,043,249.76/307,745.82
  6. Step 6: Final answer
    x = 146,020.00

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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.