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Finding the Fourth Proportional to 519,706.40, 779,413.80 and 164,829.20

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Solution

The fourth proportional to 519,706.40, 779,413.80 and 164,829.20 is: 247,197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,706.40 : 779,413.80 = 164,829.20 : x
  2. Step 2: Convert to fraction form
    519,706.40/779,413.80 = 164,829.20/x
  3. Step 3: Cross multiply
    519,706.40x = 779,413.80 × 164,829.20
  4. Step 4: Simplify right side
    519,706.40x = 128,470,153,122.96
  5. Step 5: Solve for x
    x = 128,470,153,122.96/519,706.40
  6. Step 6: Final answer
    x = 247,197.56

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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.