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Finding the Fourth Proportional to 511,496.32, 705,903.44 and 296,634.64

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Solution

The fourth proportional to 511,496.32, 705,903.44 and 296,634.64 is: 409,378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,496.32 : 705,903.44 = 296,634.64 : x
  2. Step 2: Convert to fraction form
    511,496.32/705,903.44 = 296,634.64/x
  3. Step 3: Cross multiply
    511,496.32x = 705,903.44 × 296,634.64
  4. Step 4: Simplify right side
    511,496.32x = 209,395,412,799.16
  5. Step 5: Solve for x
    x = 209,395,412,799.16/511,496.32
  6. Step 6: Final answer
    x = 409,378.14

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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.