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Finding the Fourth Proportional to 600,419.64, 901,659.78 and 533,103.78

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Solution

The fourth proportional to 600,419.64, 901,659.78 and 533,103.78 is: 800,570.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,419.64 : 901,659.78 = 533,103.78 : x
  2. Step 2: Convert to fraction form
    600,419.64/901,659.78 = 533,103.78/x
  3. Step 3: Cross multiply
    600,419.64x = 901,659.78 × 533,103.78
  4. Step 4: Simplify right side
    600,419.64x = 480,678,236,991.97
  5. Step 5: Solve for x
    x = 480,678,236,991.97/600,419.64
  6. Step 6: Final answer
    x = 800,570.48

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Why These Related Problems?

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