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Finding the Fourth Proportional to 403,394.91, 604,951.29 and 119,009.94

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Solution

The fourth proportional to 403,394.91, 604,951.29 and 119,009.94 is: 178,473.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,394.91 : 604,951.29 = 119,009.94 : x
  2. Step 2: Convert to fraction form
    403,394.91/604,951.29 = 119,009.94/x
  3. Step 3: Cross multiply
    403,394.91x = 604,951.29 × 119,009.94
  4. Step 4: Simplify right side
    403,394.91x = 71,995,216,725.82
  5. Step 5: Solve for x
    x = 71,995,216,725.82/403,394.91
  6. Step 6: Final answer
    x = 178,473.29

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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.