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Finding the Fourth Proportional to 384,871.82, 531,113.76 and 212,785.35

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Solution

The fourth proportional to 384,871.82, 531,113.76 and 212,785.35 is: 293,638.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,871.82 : 531,113.76 = 212,785.35 : x
  2. Step 2: Convert to fraction form
    384,871.82/531,113.76 = 212,785.35/x
  3. Step 3: Cross multiply
    384,871.82x = 531,113.76 × 212,785.35
  4. Step 4: Simplify right side
    384,871.82x = 113,013,228,903.32
  5. Step 5: Solve for x
    x = 113,013,228,903.32/384,871.82
  6. Step 6: Final answer
    x = 293,638.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.