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Finding the Fourth Proportional to 469,290.24, 647,618.49 and 254,429.64

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Solution

The fourth proportional to 469,290.24, 647,618.49 and 254,429.64 is: 351,111.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,290.24 : 647,618.49 = 254,429.64 : x
  2. Step 2: Convert to fraction form
    469,290.24/647,618.49 = 254,429.64/x
  3. Step 3: Cross multiply
    469,290.24x = 647,618.49 × 254,429.64
  4. Step 4: Simplify right side
    469,290.24x = 164,773,339,268.04
  5. Step 5: Solve for x
    x = 164,773,339,268.04/469,290.24
  6. Step 6: Final answer
    x = 351,111.80

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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.