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Finding the Fourth Proportional to 601,321.73, 829,823.74 and 329,399.26

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Solution

The fourth proportional to 601,321.73, 829,823.74 and 329,399.26 is: 454,570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,321.73 : 829,823.74 = 329,399.26 : x
  2. Step 2: Convert to fraction form
    601,321.73/829,823.74 = 329,399.26/x
  3. Step 3: Cross multiply
    601,321.73x = 829,823.74 × 329,399.26
  4. Step 4: Simplify right side
    601,321.73x = 273,343,322,988.38
  5. Step 5: Solve for x
    x = 273,343,322,988.38/601,321.73
  6. Step 6: Final answer
    x = 454,570.84

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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.