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Finding the Fourth Proportional to 409,413.96, 614,120.94 and 159,921

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Solution

The fourth proportional to 409,413.96, 614,120.94 and 159,921 is: 239,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,413.96 : 614,120.94 = 159,921 : x
  2. Step 2: Convert to fraction form
    409,413.96/614,120.94 = 159,921/x
  3. Step 3: Cross multiply
    409,413.96x = 614,120.94 × 159,921
  4. Step 4: Simplify right side
    409,413.96x = 98,210,834,845.74
  5. Step 5: Solve for x
    x = 98,210,834,845.74/409,413.96
  6. Step 6: Final answer
    x = 239,881.50

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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.