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Finding the Fourth Proportional to 384,107.76, 530,095.32 and 214,374.96

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Solution

The fourth proportional to 384,107.76, 530,095.32 and 214,374.96 is: 295,852.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,107.76 : 530,095.32 = 214,374.96 : x
  2. Step 2: Convert to fraction form
    384,107.76/530,095.32 = 214,374.96/x
  3. Step 3: Cross multiply
    384,107.76x = 530,095.32 × 214,374.96
  4. Step 4: Simplify right side
    384,107.76x = 113,639,163,021.19
  5. Step 5: Solve for x
    x = 113,639,163,021.19/384,107.76
  6. Step 6: Final answer
    x = 295,852.30

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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.