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Finding the Fourth Proportional to 308,986.40, 463,825.20 and 288,682.40

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Solution

The fourth proportional to 308,986.40, 463,825.20 and 288,682.40 is: 433,346.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,986.40 : 463,825.20 = 288,682.40 : x
  2. Step 2: Convert to fraction form
    308,986.40/463,825.20 = 288,682.40/x
  3. Step 3: Cross multiply
    308,986.40x = 463,825.20 × 288,682.40
  4. Step 4: Simplify right side
    308,986.40x = 133,898,171,916.48
  5. Step 5: Solve for x
    x = 133,898,171,916.48/308,986.40
  6. Step 6: Final answer
    x = 433,346.49

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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.