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Finding the Fourth Proportional to 511,374.32, 705,540.14 and 296,471.48

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Solution

The fourth proportional to 511,374.32, 705,540.14 and 296,471.48 is: 409,039.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,374.32 : 705,540.14 = 296,471.48 : x
  2. Step 2: Convert to fraction form
    511,374.32/705,540.14 = 296,471.48/x
  3. Step 3: Cross multiply
    511,374.32x = 705,540.14 × 296,471.48
  4. Step 4: Simplify right side
    511,374.32x = 209,172,524,495.15
  5. Step 5: Solve for x
    x = 209,172,524,495.15/511,374.32
  6. Step 6: Final answer
    x = 409,039.95

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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.