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Finding the Fourth Proportional to 411,886.80, 617,830.20 and 323,413.20

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Solution

The fourth proportional to 411,886.80, 617,830.20 and 323,413.20 is: 485,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,886.80 : 617,830.20 = 323,413.20 : x
  2. Step 2: Convert to fraction form
    411,886.80/617,830.20 = 323,413.20/x
  3. Step 3: Cross multiply
    411,886.80x = 617,830.20 × 323,413.20
  4. Step 4: Simplify right side
    411,886.80x = 199,814,442,038.64
  5. Step 5: Solve for x
    x = 199,814,442,038.64/411,886.80
  6. Step 6: Final answer
    x = 485,119.80

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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.