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Finding the Fourth Proportional to 384,107.94, 530,104.23 and 212,056.65

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Solution

The fourth proportional to 384,107.94, 530,104.23 and 212,056.65 is: 292,657.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,107.94 : 530,104.23 = 212,056.65 : x
  2. Step 2: Convert to fraction form
    384,107.94/530,104.23 = 212,056.65/x
  3. Step 3: Cross multiply
    384,107.94x = 530,104.23 × 212,056.65
  4. Step 4: Simplify right side
    384,107.94x = 112,412,127,164.63
  5. Step 5: Solve for x
    x = 112,412,127,164.63/384,107.94
  6. Step 6: Final answer
    x = 292,657.65

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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.