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Finding the Fourth Proportional to 360,724.14, 497,709.72 and 233,246.34

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Solution

The fourth proportional to 360,724.14, 497,709.72 and 233,246.34 is: 321,822.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,724.14 : 497,709.72 = 233,246.34 : x
  2. Step 2: Convert to fraction form
    360,724.14/497,709.72 = 233,246.34/x
  3. Step 3: Cross multiply
    360,724.14x = 497,709.72 × 233,246.34
  4. Step 4: Simplify right side
    360,724.14x = 116,088,970,572.43
  5. Step 5: Solve for x
    x = 116,088,970,572.43/360,724.14
  6. Step 6: Final answer
    x = 321,822.02

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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.