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Finding the Fourth Proportional to 384,196.92, 530,191.44 and 212,115.12

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Solution

The fourth proportional to 384,196.92, 530,191.44 and 212,115.12 is: 292,718.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,196.92 : 530,191.44 = 212,115.12 : x
  2. Step 2: Convert to fraction form
    384,196.92/530,191.44 = 212,115.12/x
  3. Step 3: Cross multiply
    384,196.92x = 530,191.44 × 212,115.12
  4. Step 4: Simplify right side
    384,196.92x = 112,461,620,918.57
  5. Step 5: Solve for x
    x = 112,461,620,918.57/384,196.92
  6. Step 6: Final answer
    x = 292,718.69

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1.5x scale

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.