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Finding the Fourth Proportional to 460,876.08, 691,439.70 and 141,021

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Solution

The fourth proportional to 460,876.08, 691,439.70 and 141,021 is: 211,569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,876.08 : 691,439.70 = 141,021 : x
  2. Step 2: Convert to fraction form
    460,876.08/691,439.70 = 141,021/x
  3. Step 3: Cross multiply
    460,876.08x = 691,439.70 × 141,021
  4. Step 4: Simplify right side
    460,876.08x = 97,507,517,933.70
  5. Step 5: Solve for x
    x = 97,507,517,933.70/460,876.08
  6. Step 6: Final answer
    x = 211,569.93

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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.