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Finding the Fourth Proportional to 384,868.80, 531,114.84 and 212,798.88

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Solution

The fourth proportional to 384,868.80, 531,114.84 and 212,798.88 is: 293,660.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,868.80 : 531,114.84 = 212,798.88 : x
  2. Step 2: Convert to fraction form
    384,868.80/531,114.84 = 212,798.88/x
  3. Step 3: Cross multiply
    384,868.80x = 531,114.84 × 212,798.88
  4. Step 4: Simplify right side
    384,868.80x = 113,020,643,103.38
  5. Step 5: Solve for x
    x = 113,020,643,103.38/384,868.80
  6. Step 6: Final answer
    x = 293,660.19

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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.