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Finding the Fourth Proportional to 336,078.80, 463,643.02 and 200,036.46

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Solution

The fourth proportional to 336,078.80, 463,643.02 and 200,036.46 is: 275,963.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,078.80 : 463,643.02 = 200,036.46 : x
  2. Step 2: Convert to fraction form
    336,078.80/463,643.02 = 200,036.46/x
  3. Step 3: Cross multiply
    336,078.80x = 463,643.02 × 200,036.46
  4. Step 4: Simplify right side
    336,078.80x = 92,745,507,924.42
  5. Step 5: Solve for x
    x = 92,745,507,924.42/336,078.80
  6. Step 6: Final answer
    x = 275,963.58

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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.