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Finding the Fourth Proportional to 460,206.77, 690,370.29 and 160,773.66

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Solution

The fourth proportional to 460,206.77, 690,370.29 and 160,773.66 is: 241,181.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,206.77 : 690,370.29 = 160,773.66 : x
  2. Step 2: Convert to fraction form
    460,206.77/690,370.29 = 160,773.66/x
  3. Step 3: Cross multiply
    460,206.77x = 690,370.29 × 160,773.66
  4. Step 4: Simplify right side
    460,206.77x = 110,993,358,278.56
  5. Step 5: Solve for x
    x = 110,993,358,278.56/460,206.77
  6. Step 6: Final answer
    x = 241,181.50

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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.