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Finding the Fourth Proportional to 366,715.80, 506,069.60 and 213,859.96

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Solution

The fourth proportional to 366,715.80, 506,069.60 and 213,859.96 is: 295,127.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,715.80 : 506,069.60 = 213,859.96 : x
  2. Step 2: Convert to fraction form
    366,715.80/506,069.60 = 213,859.96/x
  3. Step 3: Cross multiply
    366,715.80x = 506,069.60 × 213,859.96
  4. Step 4: Simplify right side
    366,715.80x = 108,228,024,413.22
  5. Step 5: Solve for x
    x = 108,228,024,413.22/366,715.80
  6. Step 6: Final answer
    x = 295,127.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.