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Finding the Fourth Proportional to 519,413.40, 778,974.30 and 164,536.20

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Solution

The fourth proportional to 519,413.40, 778,974.30 and 164,536.20 is: 246,758.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,413.40 : 778,974.30 = 164,536.20 : x
  2. Step 2: Convert to fraction form
    519,413.40/778,974.30 = 164,536.20/x
  3. Step 3: Cross multiply
    519,413.40x = 778,974.30 × 164,536.20
  4. Step 4: Simplify right side
    519,413.40x = 128,169,471,219.66
  5. Step 5: Solve for x
    x = 128,169,471,219.66/519,413.40
  6. Step 6: Final answer
    x = 246,758.11

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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.