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Finding the Fourth Proportional to 601,343.70, 829,189.32 and 383,206.82

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Solution

The fourth proportional to 601,343.70, 829,189.32 and 383,206.82 is: 528,401.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,343.70 : 829,189.32 = 383,206.82 : x
  2. Step 2: Convert to fraction form
    601,343.70/829,189.32 = 383,206.82/x
  3. Step 3: Cross multiply
    601,343.70x = 829,189.32 × 383,206.82
  4. Step 4: Simplify right side
    601,343.70x = 317,751,004,568.14
  5. Step 5: Solve for x
    x = 317,751,004,568.14/601,343.70
  6. Step 6: Final answer
    x = 528,401.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.