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Finding the Fourth Proportional to 389,884.50, 538,042.23 and 211,036.50

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Solution

The fourth proportional to 389,884.50, 538,042.23 and 211,036.50 is: 291,231.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,884.50 : 538,042.23 = 211,036.50 : x
  2. Step 2: Convert to fraction form
    389,884.50/538,042.23 = 211,036.50/x
  3. Step 3: Cross multiply
    389,884.50x = 538,042.23 × 211,036.50
  4. Step 4: Simplify right side
    389,884.50x = 113,546,549,071.40
  5. Step 5: Solve for x
    x = 113,546,549,071.40/389,884.50
  6. Step 6: Final answer
    x = 291,231.25

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1.5x scale

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.