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Finding the Fourth Proportional to 413,252.44, 619,796.96 and 113,655.68

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Solution

The fourth proportional to 413,252.44, 619,796.96 and 113,655.68 is: 170,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,252.44 : 619,796.96 = 113,655.68 : x
  2. Step 2: Convert to fraction form
    413,252.44/619,796.96 = 113,655.68/x
  3. Step 3: Cross multiply
    413,252.44x = 619,796.96 × 113,655.68
  4. Step 4: Simplify right side
    413,252.44x = 70,443,444,950.73
  5. Step 5: Solve for x
    x = 70,443,444,950.73/413,252.44
  6. Step 6: Final answer
    x = 170,461.05

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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.