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Finding the Fourth Proportional to 308,977.30, 463,465.95 and 308,977.30

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Solution

The fourth proportional to 308,977.30, 463,465.95 and 308,977.30 is: 463,465.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,977.30 : 463,465.95 = 308,977.30 : x
  2. Step 2: Convert to fraction form
    308,977.30/463,465.95 = 308,977.30/x
  3. Step 3: Cross multiply
    308,977.30x = 463,465.95 × 308,977.30
  4. Step 4: Simplify right side
    308,977.30x = 143,200,457,872.94
  5. Step 5: Solve for x
    x = 143,200,457,872.94/308,977.30
  6. Step 6: Final answer
    x = 463,465.95

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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.