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Finding the Fourth Proportional to 362,970.24, 500,870.44 and 201,815.48

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Solution

The fourth proportional to 362,970.24, 500,870.44 and 201,815.48 is: 278,489.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,970.24 : 500,870.44 = 201,815.48 : x
  2. Step 2: Convert to fraction form
    362,970.24/500,870.44 = 201,815.48/x
  3. Step 3: Cross multiply
    362,970.24x = 500,870.44 × 201,815.48
  4. Step 4: Simplify right side
    362,970.24x = 101,083,408,266.41
  5. Step 5: Solve for x
    x = 101,083,408,266.41/362,970.24
  6. Step 6: Final answer
    x = 278,489.52

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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.