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Finding the Fourth Proportional to 384,186.77, 530,178.52 and 212,105.06

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Solution

The fourth proportional to 384,186.77, 530,178.52 and 212,105.06 is: 292,705.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,186.77 : 530,178.52 = 212,105.06 : x
  2. Step 2: Convert to fraction form
    384,186.77/530,178.52 = 212,105.06/x
  3. Step 3: Cross multiply
    384,186.77x = 530,178.52 × 212,105.06
  4. Step 4: Simplify right side
    384,186.77x = 112,453,543,614.16
  5. Step 5: Solve for x
    x = 112,453,543,614.16/384,186.77
  6. Step 6: Final answer
    x = 292,705.41

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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.