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Finding the Fourth Proportional to 936,821, 1,292,988.12 and 534,413

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Solution

The fourth proportional to 936,821, 1,292,988.12 and 534,413 is: 737,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,821 : 1,292,988.12 = 534,413 : x
  2. Step 2: Convert to fraction form
    936,821/1,292,988.12 = 534,413/x
  3. Step 3: Cross multiply
    936,821x = 1,292,988.12 × 534,413
  4. Step 4: Simplify right side
    936,821x = 690,989,660,173.56
  5. Step 5: Solve for x
    x = 690,989,660,173.56/936,821
  6. Step 6: Final answer
    x = 737,589.85

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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.