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Finding the Fourth Proportional to 382,811.35, 528,274.46 and 213,045.49

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Solution

The fourth proportional to 382,811.35, 528,274.46 and 213,045.49 is: 293,999.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,811.35 : 528,274.46 = 213,045.49 : x
  2. Step 2: Convert to fraction form
    382,811.35/528,274.46 = 213,045.49/x
  3. Step 3: Cross multiply
    382,811.35x = 528,274.46 × 213,045.49
  4. Step 4: Simplify right side
    382,811.35x = 112,546,490,119.96
  5. Step 5: Solve for x
    x = 112,546,490,119.96/382,811.35
  6. Step 6: Final answer
    x = 293,999.88

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