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Finding the Fourth Proportional to 537,814.80, 806,722.20 and 537,814.80

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Solution

The fourth proportional to 537,814.80, 806,722.20 and 537,814.80 is: 806,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,814.80 : 806,722.20 = 537,814.80 : x
  2. Step 2: Convert to fraction form
    537,814.80/806,722.20 = 537,814.80/x
  3. Step 3: Cross multiply
    537,814.80x = 806,722.20 × 537,814.80
  4. Step 4: Simplify right side
    537,814.80x = 433,867,138,648.56
  5. Step 5: Solve for x
    x = 433,867,138,648.56/537,814.80
  6. Step 6: Final answer
    x = 806,722.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.