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Finding the Fourth Proportional to 340,413.90, 510,730.20 and 228,220.80

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Solution

The fourth proportional to 340,413.90, 510,730.20 and 228,220.80 is: 342,404.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,413.90 : 510,730.20 = 228,220.80 : x
  2. Step 2: Convert to fraction form
    340,413.90/510,730.20 = 228,220.80/x
  3. Step 3: Cross multiply
    340,413.90x = 510,730.20 × 228,220.80
  4. Step 4: Simplify right side
    340,413.90x = 116,559,254,828.16
  5. Step 5: Solve for x
    x = 116,559,254,828.16/340,413.90
  6. Step 6: Final answer
    x = 342,404.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.