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Finding the Fourth Proportional to 460,495.98, 691,215.12 and 380,278.44

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Solution

The fourth proportional to 460,495.98, 691,215.12 and 380,278.44 is: 570,806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,495.98 : 691,215.12 = 380,278.44 : x
  2. Step 2: Convert to fraction form
    460,495.98/691,215.12 = 380,278.44/x
  3. Step 3: Cross multiply
    460,495.98x = 691,215.12 × 380,278.44
  4. Step 4: Simplify right side
    460,495.98x = 262,854,207,538.01
  5. Step 5: Solve for x
    x = 262,854,207,538.01/460,495.98
  6. Step 6: Final answer
    x = 570,806.74

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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.