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Finding the Fourth Proportional to 384,012.28, 529,962.42 and 214,250.02

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Solution

The fourth proportional to 384,012.28, 529,962.42 and 214,250.02 is: 295,679.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,012.28 : 529,962.42 = 214,250.02 : x
  2. Step 2: Convert to fraction form
    384,012.28/529,962.42 = 214,250.02/x
  3. Step 3: Cross multiply
    384,012.28x = 529,962.42 × 214,250.02
  4. Step 4: Simplify right side
    384,012.28x = 113,544,459,084.25
  5. Step 5: Solve for x
    x = 113,544,459,084.25/384,012.28
  6. Step 6: Final answer
    x = 295,679.24

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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.