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Finding the Fourth Proportional to 323,422.20, 484,211.70 and 314,206.20

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Solution

The fourth proportional to 323,422.20, 484,211.70 and 314,206.20 is: 470,413.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,422.20 : 484,211.70 = 314,206.20 : x
  2. Step 2: Convert to fraction form
    323,422.20/484,211.70 = 314,206.20/x
  3. Step 3: Cross multiply
    323,422.20x = 484,211.70 × 314,206.20
  4. Step 4: Simplify right side
    323,422.20x = 152,142,318,252.54
  5. Step 5: Solve for x
    x = 152,142,318,252.54/323,422.20
  6. Step 6: Final answer
    x = 470,413.96

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1.5x scale

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.