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Finding the Fourth Proportional to 602,093.03, 830,758.32 and 347,296.59

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Solution

The fourth proportional to 602,093.03, 830,758.32 and 347,296.59 is: 479,194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,093.03 : 830,758.32 = 347,296.59 : x
  2. Step 2: Convert to fraction form
    602,093.03/830,758.32 = 347,296.59/x
  3. Step 3: Cross multiply
    602,093.03x = 830,758.32 × 347,296.59
  4. Step 4: Simplify right side
    602,093.03x = 288,519,531,650.13
  5. Step 5: Solve for x
    x = 288,519,531,650.13/602,093.03
  6. Step 6: Final answer
    x = 479,194.28

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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.