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Finding the Fourth Proportional to 511,204.54, 705,459.13 and 278,631.23

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Solution

The fourth proportional to 511,204.54, 705,459.13 and 278,631.23 is: 384,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,204.54 : 705,459.13 = 278,631.23 : x
  2. Step 2: Convert to fraction form
    511,204.54/705,459.13 = 278,631.23/x
  3. Step 3: Cross multiply
    511,204.54x = 705,459.13 × 278,631.23
  4. Step 4: Simplify right side
    511,204.54x = 196,562,945,106.63
  5. Step 5: Solve for x
    x = 196,562,945,106.63/511,204.54
  6. Step 6: Final answer
    x = 384,509.39

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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.