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Finding the Fourth Proportional to 602,017.39, 830,821.31 and 333,745.39

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Solution

The fourth proportional to 602,017.39, 830,821.31 and 333,745.39 is: 460,589.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,017.39 : 830,821.31 = 333,745.39 : x
  2. Step 2: Convert to fraction form
    602,017.39/830,821.31 = 333,745.39/x
  3. Step 3: Cross multiply
    602,017.39x = 830,821.31 × 333,745.39
  4. Step 4: Simplify right side
    602,017.39x = 277,282,780,883.57
  5. Step 5: Solve for x
    x = 277,282,780,883.57/602,017.39
  6. Step 6: Final answer
    x = 460,589.32

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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.