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Finding the Fourth Proportional to 384,162.94, 530,153.38 and 212,080.52

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Solution

The fourth proportional to 384,162.94, 530,153.38 and 212,080.52 is: 292,675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,162.94 : 530,153.38 = 212,080.52 : x
  2. Step 2: Convert to fraction form
    384,162.94/530,153.38 = 212,080.52/x
  3. Step 3: Cross multiply
    384,162.94x = 530,153.38 × 212,080.52
  4. Step 4: Simplify right side
    384,162.94x = 112,435,204,510.16
  5. Step 5: Solve for x
    x = 112,435,204,510.16/384,162.94
  6. Step 6: Final answer
    x = 292,675.82

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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.