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Finding the Fourth Proportional to 469,836.78, 704,525.40 and 327,750

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Solution

The fourth proportional to 469,836.78, 704,525.40 and 327,750 is: 491,464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,836.78 : 704,525.40 = 327,750 : x
  2. Step 2: Convert to fraction form
    469,836.78/704,525.40 = 327,750/x
  3. Step 3: Cross multiply
    469,836.78x = 704,525.40 × 327,750
  4. Step 4: Simplify right side
    469,836.78x = 230,908,199,850
  5. Step 5: Solve for x
    x = 230,908,199,850/469,836.78
  6. Step 6: Final answer
    x = 491,464.72

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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.