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Finding the Fourth Proportional to 460,895.82, 691,343.76 and 145,377.33

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Solution

The fourth proportional to 460,895.82, 691,343.76 and 145,377.33 is: 218,066.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,895.82 : 691,343.76 = 145,377.33 : x
  2. Step 2: Convert to fraction form
    460,895.82/691,343.76 = 145,377.33/x
  3. Step 3: Cross multiply
    460,895.82x = 691,343.76 × 145,377.33
  4. Step 4: Simplify right side
    460,895.82x = 100,505,709,940.96
  5. Step 5: Solve for x
    x = 100,505,709,940.96/460,895.82
  6. Step 6: Final answer
    x = 218,066.00

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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.