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Finding the Fourth Proportional to 335,487.38, 463,251.94 and 311,146.58

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Solution

The fourth proportional to 335,487.38, 463,251.94 and 311,146.58 is: 429,641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,487.38 : 463,251.94 = 311,146.58 : x
  2. Step 2: Convert to fraction form
    335,487.38/463,251.94 = 311,146.58/x
  3. Step 3: Cross multiply
    335,487.38x = 463,251.94 × 311,146.58
  4. Step 4: Simplify right side
    335,487.38x = 144,139,256,809.37
  5. Step 5: Solve for x
    x = 144,139,256,809.37/335,487.38
  6. Step 6: Final answer
    x = 429,641.37

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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.