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Finding the Fourth Proportional to 382,039.83, 527,184.11 and 220,905.32

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Solution

The fourth proportional to 382,039.83, 527,184.11 and 220,905.32 is: 304,831.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,039.83 : 527,184.11 = 220,905.32 : x
  2. Step 2: Convert to fraction form
    382,039.83/527,184.11 = 220,905.32/x
  3. Step 3: Cross multiply
    382,039.83x = 527,184.11 × 220,905.32
  4. Step 4: Simplify right side
    382,039.83x = 116,457,772,434.81
  5. Step 5: Solve for x
    x = 116,457,772,434.81/382,039.83
  6. Step 6: Final answer
    x = 304,831.49

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