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Finding the Fourth Proportional to 384,037.20, 529,960.32 and 214,267.68

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Solution

The fourth proportional to 384,037.20, 529,960.32 and 214,267.68 is: 295,683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,037.20 : 529,960.32 = 214,267.68 : x
  2. Step 2: Convert to fraction form
    384,037.20/529,960.32 = 214,267.68/x
  3. Step 3: Cross multiply
    384,037.20x = 529,960.32 × 214,267.68
  4. Step 4: Simplify right side
    384,037.20x = 113,553,368,258.46
  5. Step 5: Solve for x
    x = 113,553,368,258.46/384,037.20
  6. Step 6: Final answer
    x = 295,683.25

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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.