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Finding the Fourth Proportional to 601,674.39, 830,310.80 and 329,753.07

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Solution

The fourth proportional to 601,674.39, 830,310.80 and 329,753.07 is: 455,059.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,674.39 : 830,310.80 = 329,753.07 : x
  2. Step 2: Convert to fraction form
    601,674.39/830,310.80 = 329,753.07/x
  3. Step 3: Cross multiply
    601,674.39x = 830,310.80 × 329,753.07
  4. Step 4: Simplify right side
    601,674.39x = 273,797,533,705.39
  5. Step 5: Solve for x
    x = 273,797,533,705.39/601,674.39
  6. Step 6: Final answer
    x = 455,059.31

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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.