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Finding the Fourth Proportional to 389,204.52, 537,102 and 210,356.52

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Solution

The fourth proportional to 389,204.52, 537,102 and 210,356.52 is: 290,291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,204.52 : 537,102 = 210,356.52 : x
  2. Step 2: Convert to fraction form
    389,204.52/537,102 = 210,356.52/x
  3. Step 3: Cross multiply
    389,204.52x = 537,102 × 210,356.52
  4. Step 4: Simplify right side
    389,204.52x = 112,982,907,605.04
  5. Step 5: Solve for x
    x = 112,982,907,605.04/389,204.52
  6. Step 6: Final answer
    x = 290,291.87

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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.