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Finding the Fourth Proportional to 601,119, 829,544.22 and 332,847

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Solution

The fourth proportional to 601,119, 829,544.22 and 332,847 is: 459,328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,119 : 829,544.22 = 332,847 : x
  2. Step 2: Convert to fraction form
    601,119/829,544.22 = 332,847/x
  3. Step 3: Cross multiply
    601,119x = 829,544.22 × 332,847
  4. Step 4: Simplify right side
    601,119x = 276,111,304,994.34
  5. Step 5: Solve for x
    x = 276,111,304,994.34/601,119
  6. Step 6: Final answer
    x = 459,328.86

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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.