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Finding the Fourth Proportional to 601,546.84, 830,097.93 and 343,453.30

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Solution

The fourth proportional to 601,546.84, 830,097.93 and 343,453.30 is: 473,944.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,546.84 : 830,097.93 = 343,453.30 : x
  2. Step 2: Convert to fraction form
    601,546.84/830,097.93 = 343,453.30/x
  3. Step 3: Cross multiply
    601,546.84x = 830,097.93 × 343,453.30
  4. Step 4: Simplify right side
    601,546.84x = 285,099,873,381.67
  5. Step 5: Solve for x
    x = 285,099,873,381.67/601,546.84
  6. Step 6: Final answer
    x = 473,944.59

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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.