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Finding the Fourth Proportional to 382,066.80, 573,712.20 and 303,831.60

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Solution

The fourth proportional to 382,066.80, 573,712.20 and 303,831.60 is: 456,234.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,066.80 : 573,712.20 = 303,831.60 : x
  2. Step 2: Convert to fraction form
    382,066.80/573,712.20 = 303,831.60/x
  3. Step 3: Cross multiply
    382,066.80x = 573,712.20 × 303,831.60
  4. Step 4: Simplify right side
    382,066.80x = 174,311,895,665.52
  5. Step 5: Solve for x
    x = 174,311,895,665.52/382,066.80
  6. Step 6: Final answer
    x = 456,234.08

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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.