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Finding the Fourth Proportional to 511,797.42, 706,410.18 and 296,910.36

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Solution

The fourth proportional to 511,797.42, 706,410.18 and 296,910.36 is: 409,811.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,797.42 : 706,410.18 = 296,910.36 : x
  2. Step 2: Convert to fraction form
    511,797.42/706,410.18 = 296,910.36/x
  3. Step 3: Cross multiply
    511,797.42x = 706,410.18 × 296,910.36
  4. Step 4: Simplify right side
    511,797.42x = 209,740,500,851.47
  5. Step 5: Solve for x
    x = 209,740,500,851.47/511,797.42
  6. Step 6: Final answer
    x = 409,811.56

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1.5x scale

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.