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Finding the Fourth Proportional to 665,603.46, 998,109.27 and 412,873.74

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Solution

The fourth proportional to 665,603.46, 998,109.27 and 412,873.74 is: 619,127.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,603.46 : 998,109.27 = 412,873.74 : x
  2. Step 2: Convert to fraction form
    665,603.46/998,109.27 = 412,873.74/x
  3. Step 3: Cross multiply
    665,603.46x = 998,109.27 × 412,873.74
  4. Step 4: Simplify right side
    665,603.46x = 412,093,107,233.57
  5. Step 5: Solve for x
    x = 412,093,107,233.57/665,603.46
  6. Step 6: Final answer
    x = 619,127.05

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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.