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Finding the Fourth Proportional to 307,678.10, 463,977.52 and 303,468.12

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Solution

The fourth proportional to 307,678.10, 463,977.52 and 303,468.12 is: 457,628.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,678.10 : 463,977.52 = 303,468.12 : x
  2. Step 2: Convert to fraction form
    307,678.10/463,977.52 = 303,468.12/x
  3. Step 3: Cross multiply
    307,678.10x = 463,977.52 × 303,468.12
  4. Step 4: Simplify right side
    307,678.10x = 140,802,384,957.99
  5. Step 5: Solve for x
    x = 140,802,384,957.99/307,678.10
  6. Step 6: Final answer
    x = 457,628.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.