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Finding the Fourth Proportional to 453,651.54, 680,630.45 and 200,897.21

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Solution

The fourth proportional to 453,651.54, 680,630.45 and 200,897.21 is: 301,413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,651.54 : 680,630.45 = 200,897.21 : x
  2. Step 2: Convert to fraction form
    453,651.54/680,630.45 = 200,897.21/x
  3. Step 3: Cross multiply
    453,651.54x = 680,630.45 × 200,897.21
  4. Step 4: Simplify right side
    453,651.54x = 136,736,759,143.14
  5. Step 5: Solve for x
    x = 136,736,759,143.14/453,651.54
  6. Step 6: Final answer
    x = 301,413.64

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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.