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Finding the Fourth Proportional to 389,878.50, 538,033.95 and 211,030.50

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Solution

The fourth proportional to 389,878.50, 538,033.95 and 211,030.50 is: 291,222.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,878.50 : 538,033.95 = 211,030.50 : x
  2. Step 2: Convert to fraction form
    389,878.50/538,033.95 = 211,030.50/x
  3. Step 3: Cross multiply
    389,878.50x = 538,033.95 × 211,030.50
  4. Step 4: Simplify right side
    389,878.50x = 113,541,573,485.48
  5. Step 5: Solve for x
    x = 113,541,573,485.48/389,878.50
  6. Step 6: Final answer
    x = 291,222.97

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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.