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Finding the Fourth Proportional to 381,828.28, 526,929.54 and 209,753.50

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Solution

The fourth proportional to 381,828.28, 526,929.54 and 209,753.50 is: 289,463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,828.28 : 526,929.54 = 209,753.50 : x
  2. Step 2: Convert to fraction form
    381,828.28/526,929.54 = 209,753.50/x
  3. Step 3: Cross multiply
    381,828.28x = 526,929.54 × 209,753.50
  4. Step 4: Simplify right side
    381,828.28x = 110,525,315,268.39
  5. Step 5: Solve for x
    x = 110,525,315,268.39/381,828.28
  6. Step 6: Final answer
    x = 289,463.41

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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.