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Finding the Fourth Proportional to 384,163.02, 530,123.40 and 214,408.08

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Solution

The fourth proportional to 384,163.02, 530,123.40 and 214,408.08 is: 295,871.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,163.02 : 530,123.40 = 214,408.08 : x
  2. Step 2: Convert to fraction form
    384,163.02/530,123.40 = 214,408.08/x
  3. Step 3: Cross multiply
    384,163.02x = 530,123.40 × 214,408.08
  4. Step 4: Simplify right side
    384,163.02x = 113,662,740,357.07
  5. Step 5: Solve for x
    x = 113,662,740,357.07/384,163.02
  6. Step 6: Final answer
    x = 295,871.11

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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.