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Finding the Fourth Proportional to 384,926.98, 531,177.72 and 212,834.98

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Solution

The fourth proportional to 384,926.98, 531,177.72 and 212,834.98 is: 293,700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,926.98 : 531,177.72 = 212,834.98 : x
  2. Step 2: Convert to fraction form
    384,926.98/531,177.72 = 212,834.98/x
  3. Step 3: Cross multiply
    384,926.98x = 531,177.72 × 212,834.98
  4. Step 4: Simplify right side
    384,926.98x = 113,053,199,412.65
  5. Step 5: Solve for x
    x = 113,053,199,412.65/384,926.98
  6. Step 6: Final answer
    x = 293,700.38

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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.