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Finding the Fourth Proportional to 384,575.23, 530,711.78 and 212,505.06

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Solution

The fourth proportional to 384,575.23, 530,711.78 and 212,505.06 is: 293,255.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,575.23 : 530,711.78 = 212,505.06 : x
  2. Step 2: Convert to fraction form
    384,575.23/530,711.78 = 212,505.06/x
  3. Step 3: Cross multiply
    384,575.23x = 530,711.78 × 212,505.06
  4. Step 4: Simplify right side
    384,575.23x = 112,778,935,998.05
  5. Step 5: Solve for x
    x = 112,778,935,998.05/384,575.23
  6. Step 6: Final answer
    x = 293,255.85

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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.