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Finding the Fourth Proportional to 307,042.59, 460,476.41 and 194,553.03

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Solution

The fourth proportional to 307,042.59, 460,476.41 and 194,553.03 is: 291,774.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,042.59 : 460,476.41 = 194,553.03 : x
  2. Step 2: Convert to fraction form
    307,042.59/460,476.41 = 194,553.03/x
  3. Step 3: Cross multiply
    307,042.59x = 460,476.41 × 194,553.03
  4. Step 4: Simplify right side
    307,042.59x = 89,587,079,836.26
  5. Step 5: Solve for x
    x = 89,587,079,836.26/307,042.59
  6. Step 6: Final answer
    x = 291,774.11

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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.