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Finding the Fourth Proportional to 805,401, 1,205,472.78 and 592,112.40

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Solution

The fourth proportional to 805,401, 1,205,472.78 and 592,112.40 is: 886,236.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,401 : 1,205,472.78 = 592,112.40 : x
  2. Step 2: Convert to fraction form
    805,401/1,205,472.78 = 592,112.40/x
  3. Step 3: Cross multiply
    805,401x = 1,205,472.78 × 592,112.40
  4. Step 4: Simplify right side
    805,401x = 713,775,380,900.47
  5. Step 5: Solve for x
    x = 713,775,380,900.47/805,401
  6. Step 6: Final answer
    x = 886,236.03

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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.