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Finding the Fourth Proportional to 317,665.49, 476,358.35 and 149,233.68

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Solution

The fourth proportional to 317,665.49, 476,358.35 and 149,233.68 is: 223,784.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,665.49 : 476,358.35 = 149,233.68 : x
  2. Step 2: Convert to fraction form
    317,665.49/476,358.35 = 149,233.68/x
  3. Step 3: Cross multiply
    317,665.49x = 476,358.35 × 149,233.68
  4. Step 4: Simplify right side
    317,665.49x = 71,088,708,823.06
  5. Step 5: Solve for x
    x = 71,088,708,823.06/317,665.49
  6. Step 6: Final answer
    x = 223,784.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.