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Finding the Fourth Proportional to 282,971.22, 424,471.95 and 72,610.98

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Solution

The fourth proportional to 282,971.22, 424,471.95 and 72,610.98 is: 108,920.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,971.22 : 424,471.95 = 72,610.98 : x
  2. Step 2: Convert to fraction form
    282,971.22/424,471.95 = 72,610.98/x
  3. Step 3: Cross multiply
    282,971.22x = 424,471.95 × 72,610.98
  4. Step 4: Simplify right side
    282,971.22x = 30,821,324,272.01
  5. Step 5: Solve for x
    x = 30,821,324,272.01/282,971.22
  6. Step 6: Final answer
    x = 108,920.35

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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.