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Finding the Fourth Proportional to 394,811.64, 592,479.90 and 184,465.98

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Solution

The fourth proportional to 394,811.64, 592,479.90 and 184,465.98 is: 276,821.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,811.64 : 592,479.90 = 184,465.98 : x
  2. Step 2: Convert to fraction form
    394,811.64/592,479.90 = 184,465.98/x
  3. Step 3: Cross multiply
    394,811.64x = 592,479.90 × 184,465.98
  4. Step 4: Simplify right side
    394,811.64x = 109,292,385,383.80
  5. Step 5: Solve for x
    x = 109,292,385,383.80/394,811.64
  6. Step 6: Final answer
    x = 276,821.59

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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.