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Finding the Fourth Proportional to 466,856.86, 644,289.92 and 285,603.53

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Solution

The fourth proportional to 466,856.86, 644,289.92 and 285,603.53 is: 394,149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,856.86 : 644,289.92 = 285,603.53 : x
  2. Step 2: Convert to fraction form
    466,856.86/644,289.92 = 285,603.53/x
  3. Step 3: Cross multiply
    466,856.86x = 644,289.92 × 285,603.53
  4. Step 4: Simplify right side
    466,856.86x = 184,011,476,566.43
  5. Step 5: Solve for x
    x = 184,011,476,566.43/466,856.86
  6. Step 6: Final answer
    x = 394,149.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.