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Finding the Fourth Proportional to 413,462.21, 619,799.58 and 132,782.63

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Solution

The fourth proportional to 413,462.21, 619,799.58 and 132,782.63 is: 199,047.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,462.21 : 619,799.58 = 132,782.63 : x
  2. Step 2: Convert to fraction form
    413,462.21/619,799.58 = 132,782.63/x
  3. Step 3: Cross multiply
    413,462.21x = 619,799.58 × 132,782.63
  4. Step 4: Simplify right side
    413,462.21x = 82,298,615,206.30
  5. Step 5: Solve for x
    x = 82,298,615,206.30/413,462.21
  6. Step 6: Final answer
    x = 199,047.49

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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.