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Finding the Fourth Proportional to 601,647.63, 830,237.69 and 329,661.38

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Solution

The fourth proportional to 601,647.63, 830,237.69 and 329,661.38 is: 454,912.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,647.63 : 830,237.69 = 329,661.38 : x
  2. Step 2: Convert to fraction form
    601,647.63/830,237.69 = 329,661.38/x
  3. Step 3: Cross multiply
    601,647.63x = 830,237.69 × 329,661.38
  4. Step 4: Simplify right side
    601,647.63x = 273,697,296,813.92
  5. Step 5: Solve for x
    x = 273,697,296,813.92/601,647.63
  6. Step 6: Final answer
    x = 454,912.95

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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.