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Finding the Fourth Proportional to 665,245.03, 998,498.40 and 411,758.74

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Solution

The fourth proportional to 665,245.03, 998,498.40 and 411,758.74 is: 618,028.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,245.03 : 998,498.40 = 411,758.74 : x
  2. Step 2: Convert to fraction form
    665,245.03/998,498.40 = 411,758.74/x
  3. Step 3: Cross multiply
    665,245.03x = 998,498.40 × 411,758.74
  4. Step 4: Simplify right side
    665,245.03x = 411,140,443,076.02
  5. Step 5: Solve for x
    x = 411,140,443,076.02/665,245.03
  6. Step 6: Final answer
    x = 618,028.58

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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.