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Finding the Fourth Proportional to 589,413.92, 813,460.36 and 331,291.22

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Solution

The fourth proportional to 589,413.92, 813,460.36 and 331,291.22 is: 457,220.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,413.92 : 813,460.36 = 331,291.22 : x
  2. Step 2: Convert to fraction form
    589,413.92/813,460.36 = 331,291.22/x
  3. Step 3: Cross multiply
    589,413.92x = 813,460.36 × 331,291.22
  4. Step 4: Simplify right side
    589,413.92x = 269,492,275,086.04
  5. Step 5: Solve for x
    x = 269,492,275,086.04/589,413.92
  6. Step 6: Final answer
    x = 457,220.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.