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Finding the Fourth Proportional to 370,419.96, 511,177.86 and 200,654.52

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Solution

The fourth proportional to 370,419.96, 511,177.86 and 200,654.52 is: 276,902.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,419.96 : 511,177.86 = 200,654.52 : x
  2. Step 2: Convert to fraction form
    370,419.96/511,177.86 = 200,654.52/x
  3. Step 3: Cross multiply
    370,419.96x = 511,177.86 × 200,654.52
  4. Step 4: Simplify right side
    370,419.96x = 102,570,148,132.93
  5. Step 5: Solve for x
    x = 102,570,148,132.93/370,419.96
  6. Step 6: Final answer
    x = 276,902.32

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1.5x scale

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.