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Finding the Fourth Proportional to 384,110.94, 530,108.28 and 212,059.74

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Solution

The fourth proportional to 384,110.94, 530,108.28 and 212,059.74 is: 292,661.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,110.94 : 530,108.28 = 212,059.74 : x
  2. Step 2: Convert to fraction form
    384,110.94/530,108.28 = 212,059.74/x
  3. Step 3: Cross multiply
    384,110.94x = 530,108.28 × 212,059.74
  4. Step 4: Simplify right side
    384,110.94x = 112,414,624,028.65
  5. Step 5: Solve for x
    x = 112,414,624,028.65/384,110.94
  6. Step 6: Final answer
    x = 292,661.86

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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.