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Finding the Fourth Proportional to 308,970.76, 463,631.46 and 166,814.14

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Solution

The fourth proportional to 308,970.76, 463,631.46 and 166,814.14 is: 250,315.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,970.76 : 463,631.46 = 166,814.14 : x
  2. Step 2: Convert to fraction form
    308,970.76/463,631.46 = 166,814.14/x
  3. Step 3: Cross multiply
    308,970.76x = 463,631.46 × 166,814.14
  4. Step 4: Simplify right side
    308,970.76x = 77,340,283,276.84
  5. Step 5: Solve for x
    x = 77,340,283,276.84/308,970.76
  6. Step 6: Final answer
    x = 250,315.87

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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.