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Finding the Fourth Proportional to 587,804.40, 882,099.34 and 213,827.40

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Solution

The fourth proportional to 587,804.40, 882,099.34 and 213,827.40 is: 320,883.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,804.40 : 882,099.34 = 213,827.40 : x
  2. Step 2: Convert to fraction form
    587,804.40/882,099.34 = 213,827.40/x
  3. Step 3: Cross multiply
    587,804.40x = 882,099.34 × 213,827.40
  4. Step 4: Simplify right side
    587,804.40x = 188,617,008,413.92
  5. Step 5: Solve for x
    x = 188,617,008,413.92/587,804.40
  6. Step 6: Final answer
    x = 320,883.97

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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.