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Finding the Fourth Proportional to 408,857.90, 609,091.09 and 390,413.75

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Solution

The fourth proportional to 408,857.90, 609,091.09 and 390,413.75 is: 581,614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,857.90 : 609,091.09 = 390,413.75 : x
  2. Step 2: Convert to fraction form
    408,857.90/609,091.09 = 390,413.75/x
  3. Step 3: Cross multiply
    408,857.90x = 609,091.09 × 390,413.75
  4. Step 4: Simplify right side
    408,857.90x = 237,797,536,538.49
  5. Step 5: Solve for x
    x = 237,797,536,538.49/408,857.90
  6. Step 6: Final answer
    x = 581,614.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.