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Finding the Fourth Proportional to 338,159.16, 466,579.50 and 200,268.48

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Solution

The fourth proportional to 338,159.16, 466,579.50 and 200,268.48 is: 276,323.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,159.16 : 466,579.50 = 200,268.48 : x
  2. Step 2: Convert to fraction form
    338,159.16/466,579.50 = 200,268.48/x
  3. Step 3: Cross multiply
    338,159.16x = 466,579.50 × 200,268.48
  4. Step 4: Simplify right side
    338,159.16x = 93,441,167,264.16
  5. Step 5: Solve for x
    x = 93,441,167,264.16/338,159.16
  6. Step 6: Final answer
    x = 276,323.04

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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.