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Finding the Fourth Proportional to 389,815, 537,944.76 and 210,967

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Solution

The fourth proportional to 389,815, 537,944.76 and 210,967 is: 291,134.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,815 : 537,944.76 = 210,967 : x
  2. Step 2: Convert to fraction form
    389,815/537,944.76 = 210,967/x
  3. Step 3: Cross multiply
    389,815x = 537,944.76 × 210,967
  4. Step 4: Simplify right side
    389,815x = 113,488,592,182.92
  5. Step 5: Solve for x
    x = 113,488,592,182.92/389,815
  6. Step 6: Final answer
    x = 291,134.49

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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.