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Finding the Fourth Proportional to 346,504.50, 519,964.11 and 149,512.50

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Solution

The fourth proportional to 346,504.50, 519,964.11 and 149,512.50 is: 224,358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,504.50 : 519,964.11 = 149,512.50 : x
  2. Step 2: Convert to fraction form
    346,504.50/519,964.11 = 149,512.50/x
  3. Step 3: Cross multiply
    346,504.50x = 519,964.11 × 149,512.50
  4. Step 4: Simplify right side
    346,504.50x = 77,741,133,996.38
  5. Step 5: Solve for x
    x = 77,741,133,996.38/346,504.50
  6. Step 6: Final answer
    x = 224,358.22

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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.