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Finding the Fourth Proportional to 601,241.39, 829,711.32 and 339,568.06

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Solution

The fourth proportional to 601,241.39, 829,711.32 and 339,568.06 is: 468,602.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,241.39 : 829,711.32 = 339,568.06 : x
  2. Step 2: Convert to fraction form
    601,241.39/829,711.32 = 339,568.06/x
  3. Step 3: Cross multiply
    601,241.39x = 829,711.32 × 339,568.06
  4. Step 4: Simplify right side
    601,241.39x = 281,743,459,143.88
  5. Step 5: Solve for x
    x = 281,743,459,143.88/601,241.39
  6. Step 6: Final answer
    x = 468,602.90

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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.