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Finding the Fourth Proportional to 290,665.84, 401,123.60 and 159,849.04

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Solution

The fourth proportional to 290,665.84, 401,123.60 and 159,849.04 is: 220,594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,665.84 : 401,123.60 = 159,849.04 : x
  2. Step 2: Convert to fraction form
    290,665.84/401,123.60 = 159,849.04/x
  3. Step 3: Cross multiply
    290,665.84x = 401,123.60 × 159,849.04
  4. Step 4: Simplify right side
    290,665.84x = 64,119,222,381.34
  5. Step 5: Solve for x
    x = 64,119,222,381.34/290,665.84
  6. Step 6: Final answer
    x = 220,594.28

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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.