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Finding the Fourth Proportional to 510,200.20, 765,300.30 and 194,667.40

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Solution

The fourth proportional to 510,200.20, 765,300.30 and 194,667.40 is: 292,001.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,200.20 : 765,300.30 = 194,667.40 : x
  2. Step 2: Convert to fraction form
    510,200.20/765,300.30 = 194,667.40/x
  3. Step 3: Cross multiply
    510,200.20x = 765,300.30 × 194,667.40
  4. Step 4: Simplify right side
    510,200.20x = 148,979,019,620.22
  5. Step 5: Solve for x
    x = 148,979,019,620.22/510,200.20
  6. Step 6: Final answer
    x = 292,001.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.