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Finding the Fourth Proportional to 553,769.19, 764,201.49 and 299,120.38

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Solution

The fourth proportional to 553,769.19, 764,201.49 and 299,120.38 is: 412,786.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,769.19 : 764,201.49 = 299,120.38 : x
  2. Step 2: Convert to fraction form
    553,769.19/764,201.49 = 299,120.38/x
  3. Step 3: Cross multiply
    553,769.19x = 764,201.49 × 299,120.38
  4. Step 4: Simplify right side
    553,769.19x = 228,588,237,053.16
  5. Step 5: Solve for x
    x = 228,588,237,053.16/553,769.19
  6. Step 6: Final answer
    x = 412,786.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.