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Finding the Fourth Proportional to 402,413.20, 603,619.80 and 337,459.30

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Solution

The fourth proportional to 402,413.20, 603,619.80 and 337,459.30 is: 506,188.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,413.20 : 603,619.80 = 337,459.30 : x
  2. Step 2: Convert to fraction form
    402,413.20/603,619.80 = 337,459.30/x
  3. Step 3: Cross multiply
    402,413.20x = 603,619.80 × 337,459.30
  4. Step 4: Simplify right side
    402,413.20x = 203,697,115,174.14
  5. Step 5: Solve for x
    x = 203,697,115,174.14/402,413.20
  6. Step 6: Final answer
    x = 506,188.95

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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.