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Finding the Fourth Proportional to 458,020.80, 632,072.50 and 254,085.08

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Solution

The fourth proportional to 458,020.80, 632,072.50 and 254,085.08 is: 350,639.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,020.80 : 632,072.50 = 254,085.08 : x
  2. Step 2: Convert to fraction form
    458,020.80/632,072.50 = 254,085.08/x
  3. Step 3: Cross multiply
    458,020.80x = 632,072.50 × 254,085.08
  4. Step 4: Simplify right side
    458,020.80x = 160,600,187,932.73
  5. Step 5: Solve for x
    x = 160,600,187,932.73/458,020.80
  6. Step 6: Final answer
    x = 350,639.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.