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Finding the Fourth Proportional to 455,811.70, 683,509.79 and 189,413.23

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Solution

The fourth proportional to 455,811.70, 683,509.79 and 189,413.23 is: 284,033.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,811.70 : 683,509.79 = 189,413.23 : x
  2. Step 2: Convert to fraction form
    455,811.70/683,509.79 = 189,413.23/x
  3. Step 3: Cross multiply
    455,811.70x = 683,509.79 × 189,413.23
  4. Step 4: Simplify right side
    455,811.70x = 129,465,796,113.46
  5. Step 5: Solve for x
    x = 129,465,796,113.46/455,811.70
  6. Step 6: Final answer
    x = 284,033.51

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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.