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Finding the Fourth Proportional to 465,177.60, 697,323.45 and 149,413.11

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Solution

The fourth proportional to 465,177.60, 697,323.45 and 149,413.11 is: 223,977.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,177.60 : 697,323.45 = 149,413.11 : x
  2. Step 2: Convert to fraction form
    465,177.60/697,323.45 = 149,413.11/x
  3. Step 3: Cross multiply
    465,177.60x = 697,323.45 × 149,413.11
  4. Step 4: Simplify right side
    465,177.60x = 104,189,265,340.43
  5. Step 5: Solve for x
    x = 104,189,265,340.43/465,177.60
  6. Step 6: Final answer
    x = 223,977.39

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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.