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Finding the Fourth Proportional to 308,719.87, 463,184.70 and 166,578.64

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Solution

The fourth proportional to 308,719.87, 463,184.70 and 166,578.64 is: 249,924.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,719.87 : 463,184.70 = 166,578.64 : x
  2. Step 2: Convert to fraction form
    308,719.87/463,184.70 = 166,578.64/x
  3. Step 3: Cross multiply
    308,719.87x = 463,184.70 × 166,578.64
  4. Step 4: Simplify right side
    308,719.87x = 77,156,677,394.81
  5. Step 5: Solve for x
    x = 77,156,677,394.81/308,719.87
  6. Step 6: Final answer
    x = 249,924.56

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Why These Related Problems?

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