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Finding the Fourth Proportional to 602,093.79, 830,759.36 and 347,297.36

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Solution

The fourth proportional to 602,093.79, 830,759.36 and 347,297.36 is: 479,195.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,093.79 : 830,759.36 = 347,297.36 : x
  2. Step 2: Convert to fraction form
    602,093.79/830,759.36 = 347,297.36/x
  3. Step 3: Cross multiply
    602,093.79x = 830,759.36 × 347,297.36
  4. Step 4: Simplify right side
    602,093.79x = 288,520,526,633.01
  5. Step 5: Solve for x
    x = 288,520,526,633.01/602,093.79
  6. Step 6: Final answer
    x = 479,195.32

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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.