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Finding the Fourth Proportional to 384,119.38, 530,085.18 and 214,353.46

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Solution

The fourth proportional to 384,119.38, 530,085.18 and 214,353.46 is: 295,808.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,119.38 : 530,085.18 = 214,353.46 : x
  2. Step 2: Convert to fraction form
    384,119.38/530,085.18 = 214,353.46/x
  3. Step 3: Cross multiply
    384,119.38x = 530,085.18 × 214,353.46
  4. Step 4: Simplify right side
    384,119.38x = 113,625,592,427.72
  5. Step 5: Solve for x
    x = 113,625,592,427.72/384,119.38
  6. Step 6: Final answer
    x = 295,808.02

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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.