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Finding the Fourth Proportional to 301,641.33, 452,520.32 and 114,638.25

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Solution

The fourth proportional to 301,641.33, 452,520.32 and 114,638.25 is: 171,979.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,641.33 : 452,520.32 = 114,638.25 : x
  2. Step 2: Convert to fraction form
    301,641.33/452,520.32 = 114,638.25/x
  3. Step 3: Cross multiply
    301,641.33x = 452,520.32 × 114,638.25
  4. Step 4: Simplify right side
    301,641.33x = 51,876,137,574.24
  5. Step 5: Solve for x
    x = 51,876,137,574.24/301,641.33
  6. Step 6: Final answer
    x = 171,979.54

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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.