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Finding the Fourth Proportional to 460,333.67, 690,029.94 and 310,589.15

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Solution

The fourth proportional to 460,333.67, 690,029.94 and 310,589.15 is: 465,566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,333.67 : 690,029.94 = 310,589.15 : x
  2. Step 2: Convert to fraction form
    460,333.67/690,029.94 = 310,589.15/x
  3. Step 3: Cross multiply
    460,333.67x = 690,029.94 × 310,589.15
  4. Step 4: Simplify right side
    460,333.67x = 214,315,812,539.15
  5. Step 5: Solve for x
    x = 214,315,812,539.15/460,333.67
  6. Step 6: Final answer
    x = 465,566.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.