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Finding the Fourth Proportional to 511,328.88, 705,623.40 and 278,757.36

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Solution

The fourth proportional to 511,328.88, 705,623.40 and 278,757.36 is: 384,679.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,328.88 : 705,623.40 = 278,757.36 : x
  2. Step 2: Convert to fraction form
    511,328.88/705,623.40 = 278,757.36/x
  3. Step 3: Cross multiply
    511,328.88x = 705,623.40 × 278,757.36
  4. Step 4: Simplify right side
    511,328.88x = 196,697,716,138.22
  5. Step 5: Solve for x
    x = 196,697,716,138.22/511,328.88
  6. Step 6: Final answer
    x = 384,679.46

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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.