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Finding the Fourth Proportional to 370,412.52, 511,171.73 and 200,646.64

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Solution

The fourth proportional to 370,412.52, 511,171.73 and 200,646.64 is: 276,893.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,412.52 : 511,171.73 = 200,646.64 : x
  2. Step 2: Convert to fraction form
    370,412.52/511,171.73 = 200,646.64/x
  3. Step 3: Cross multiply
    370,412.52x = 511,171.73 × 200,646.64
  4. Step 4: Simplify right side
    370,412.52x = 102,564,889,084.25
  5. Step 5: Solve for x
    x = 102,564,889,084.25/370,412.52
  6. Step 6: Final answer
    x = 276,893.69

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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.