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Finding the Fourth Proportional to 892,028.88, 1,230,698.34 and 509,783.40

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Solution

The fourth proportional to 892,028.88, 1,230,698.34 and 509,783.40 is: 703,328.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,028.88 : 1,230,698.34 = 509,783.40 : x
  2. Step 2: Convert to fraction form
    892,028.88/1,230,698.34 = 509,783.40/x
  3. Step 3: Cross multiply
    892,028.88x = 1,230,698.34 × 509,783.40
  4. Step 4: Simplify right side
    892,028.88x = 627,389,584,139.56
  5. Step 5: Solve for x
    x = 627,389,584,139.56/892,028.88
  6. Step 6: Final answer
    x = 703,328.78

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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.