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Finding the Fourth Proportional to 289,546.96, 399,596.94 and 182,209

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Solution

The fourth proportional to 289,546.96, 399,596.94 and 182,209 is: 251,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,546.96 : 399,596.94 = 182,209 : x
  2. Step 2: Convert to fraction form
    289,546.96/399,596.94 = 182,209/x
  3. Step 3: Cross multiply
    289,546.96x = 399,596.94 × 182,209
  4. Step 4: Simplify right side
    289,546.96x = 72,810,158,840.46
  5. Step 5: Solve for x
    x = 72,810,158,840.46/289,546.96
  6. Step 6: Final answer
    x = 251,462.35

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1.5x scale

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.