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Finding the Fourth Proportional to 460,599.58, 690,899.37 and 179,920

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Solution

The fourth proportional to 460,599.58, 690,899.37 and 179,920 is: 269,880

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,599.58 : 690,899.37 = 179,920 : x
  2. Step 2: Convert to fraction form
    460,599.58/690,899.37 = 179,920/x
  3. Step 3: Cross multiply
    460,599.58x = 690,899.37 × 179,920
  4. Step 4: Simplify right side
    460,599.58x = 124,306,614,650.40
  5. Step 5: Solve for x
    x = 124,306,614,650.40/460,599.58
  6. Step 6: Final answer
    x = 269,880

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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.