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Finding the Fourth Proportional to 384,899.40, 531,139.74 and 212,807.42

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Solution

The fourth proportional to 384,899.40, 531,139.74 and 212,807.42 is: 293,662.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,899.40 : 531,139.74 = 212,807.42 : x
  2. Step 2: Convert to fraction form
    384,899.40/531,139.74 = 212,807.42/x
  3. Step 3: Cross multiply
    384,899.40x = 531,139.74 × 212,807.42
  4. Step 4: Simplify right side
    384,899.40x = 113,030,477,728.87
  5. Step 5: Solve for x
    x = 113,030,477,728.87/384,899.40
  6. Step 6: Final answer
    x = 293,662.39

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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.