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Finding the Fourth Proportional to 511,227.45, 705,410.91 and 296,325.54

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Solution

The fourth proportional to 511,227.45, 705,410.91 and 296,325.54 is: 408,881.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,227.45 : 705,410.91 = 296,325.54 : x
  2. Step 2: Convert to fraction form
    511,227.45/705,410.91 = 296,325.54/x
  3. Step 3: Cross multiply
    511,227.45x = 705,410.91 × 296,325.54
  4. Step 4: Simplify right side
    511,227.45x = 209,031,268,827.64
  5. Step 5: Solve for x
    x = 209,031,268,827.64/511,227.45
  6. Step 6: Final answer
    x = 408,881.15

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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.