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Finding the Fourth Proportional to 601,384.54, 829,910.62 and 359,667.11

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Solution

The fourth proportional to 601,384.54, 829,910.62 and 359,667.11 is: 496,340.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,384.54 : 829,910.62 = 359,667.11 : x
  2. Step 2: Convert to fraction form
    601,384.54/829,910.62 = 359,667.11/x
  3. Step 3: Cross multiply
    601,384.54x = 829,910.62 × 359,667.11
  4. Step 4: Simplify right side
    601,384.54x = 298,491,548,305.82
  5. Step 5: Solve for x
    x = 298,491,548,305.82/601,384.54
  6. Step 6: Final answer
    x = 496,340.57

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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.