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Finding the Fourth Proportional to 333,382, 460,067.16 and 182,479

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Solution

The fourth proportional to 333,382, 460,067.16 and 182,479 is: 251,821.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,382 : 460,067.16 = 182,479 : x
  2. Step 2: Convert to fraction form
    333,382/460,067.16 = 182,479/x
  3. Step 3: Cross multiply
    333,382x = 460,067.16 × 182,479
  4. Step 4: Simplify right side
    333,382x = 83,952,595,289.64
  5. Step 5: Solve for x
    x = 83,952,595,289.64/333,382
  6. Step 6: Final answer
    x = 251,821.02

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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.