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Finding the Fourth Proportional to 298,300.71, 411,650.64 and 164,164.71

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Solution

The fourth proportional to 298,300.71, 411,650.64 and 164,164.71 is: 226,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,300.71 : 411,650.64 = 164,164.71 : x
  2. Step 2: Convert to fraction form
    298,300.71/411,650.64 = 164,164.71/x
  3. Step 3: Cross multiply
    298,300.71x = 411,650.64 × 164,164.71
  4. Step 4: Simplify right side
    298,300.71x = 67,578,507,936.91
  5. Step 5: Solve for x
    x = 67,578,507,936.91/298,300.71
  6. Step 6: Final answer
    x = 226,544.91

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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.