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Finding the Fourth Proportional to 601,455.29, 829,995.59 and 329,509.94

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Solution

The fourth proportional to 601,455.29, 829,995.59 and 329,509.94 is: 454,716.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,455.29 : 829,995.59 = 329,509.94 : x
  2. Step 2: Convert to fraction form
    601,455.29/829,995.59 = 329,509.94/x
  3. Step 3: Cross multiply
    601,455.29x = 829,995.59 × 329,509.94
  4. Step 4: Simplify right side
    601,455.29x = 273,491,793,734.96
  5. Step 5: Solve for x
    x = 273,491,793,734.96/601,455.29
  6. Step 6: Final answer
    x = 454,716.75

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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.