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Finding the Fourth Proportional to 408,046.53, 612,069.79 and 404,109.93

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Solution

The fourth proportional to 408,046.53, 612,069.79 and 404,109.93 is: 606,164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,046.53 : 612,069.79 = 404,109.93 : x
  2. Step 2: Convert to fraction form
    408,046.53/612,069.79 = 404,109.93/x
  3. Step 3: Cross multiply
    408,046.53x = 612,069.79 × 404,109.93
  4. Step 4: Simplify right side
    408,046.53x = 247,343,479,992.02
  5. Step 5: Solve for x
    x = 247,343,479,992.02/408,046.53
  6. Step 6: Final answer
    x = 606,164.89

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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.