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Finding the Fourth Proportional to 389,800.50, 537,924.73 and 210,952.50

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Solution

The fourth proportional to 389,800.50, 537,924.73 and 210,952.50 is: 291,114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,800.50 : 537,924.73 = 210,952.50 : x
  2. Step 2: Convert to fraction form
    389,800.50/537,924.73 = 210,952.50/x
  3. Step 3: Cross multiply
    389,800.50x = 537,924.73 × 210,952.50
  4. Step 4: Simplify right side
    389,800.50x = 113,476,566,605.33
  5. Step 5: Solve for x
    x = 113,476,566,605.33/389,800.50
  6. Step 6: Final answer
    x = 291,114.47

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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.