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Finding the Fourth Proportional to 492,045.44, 679,057.28 and 274,268.16

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Solution

The fourth proportional to 492,045.44, 679,057.28 and 274,268.16 is: 378,509.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,045.44 : 679,057.28 = 274,268.16 : x
  2. Step 2: Convert to fraction form
    492,045.44/679,057.28 = 274,268.16/x
  3. Step 3: Cross multiply
    492,045.44x = 679,057.28 × 274,268.16
  4. Step 4: Simplify right side
    492,045.44x = 186,243,790,720.21
  5. Step 5: Solve for x
    x = 186,243,790,720.21/492,045.44
  6. Step 6: Final answer
    x = 378,509.33

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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.