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Finding the Fourth Proportional to 370,636.68, 511,464.86 and 200,867.16

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Solution

The fourth proportional to 370,636.68, 511,464.86 and 200,867.16 is: 277,189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,636.68 : 511,464.86 = 200,867.16 : x
  2. Step 2: Convert to fraction form
    370,636.68/511,464.86 = 200,867.16/x
  3. Step 3: Cross multiply
    370,636.68x = 511,464.86 × 200,867.16
  4. Step 4: Simplify right side
    370,636.68x = 102,736,493,868.00
  5. Step 5: Solve for x
    x = 102,736,493,868.00/370,636.68
  6. Step 6: Final answer
    x = 277,189.22

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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.