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Finding the Fourth Proportional to 589,359.40, 813,413.81 and 347,701.37

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Solution

The fourth proportional to 589,359.40, 813,413.81 and 347,701.37 is: 479,885.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,359.40 : 813,413.81 = 347,701.37 : x
  2. Step 2: Convert to fraction form
    589,359.40/813,413.81 = 347,701.37/x
  3. Step 3: Cross multiply
    589,359.40x = 813,413.81 × 347,701.37
  4. Step 4: Simplify right side
    589,359.40x = 282,825,092,916.10
  5. Step 5: Solve for x
    x = 282,825,092,916.10/589,359.40
  6. Step 6: Final answer
    x = 479,885.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.