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Finding the Fourth Proportional to 384,548.16, 576,413.76 and 226,850.88

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Solution

The fourth proportional to 384,548.16, 576,413.76 and 226,850.88 is: 340,035.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,548.16 : 576,413.76 = 226,850.88 : x
  2. Step 2: Convert to fraction form
    384,548.16/576,413.76 = 226,850.88/x
  3. Step 3: Cross multiply
    384,548.16x = 576,413.76 × 226,850.88
  4. Step 4: Simplify right side
    384,548.16x = 130,759,968,700.11
  5. Step 5: Solve for x
    x = 130,759,968,700.11/384,548.16
  6. Step 6: Final answer
    x = 340,035.35

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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.