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Finding the Fourth Proportional to 290,020, 400,228.68 and 169,244.68

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Solution

The fourth proportional to 290,020, 400,228.68 and 169,244.68 is: 233,558.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,020 : 400,228.68 = 169,244.68 : x
  2. Step 2: Convert to fraction form
    290,020/400,228.68 = 169,244.68/x
  3. Step 3: Cross multiply
    290,020x = 400,228.68 × 169,244.68
  4. Step 4: Simplify right side
    290,020x = 67,736,574,873.42
  5. Step 5: Solve for x
    x = 67,736,574,873.42/290,020
  6. Step 6: Final answer
    x = 233,558.29

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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.