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Finding the Fourth Proportional to 511,201.20, 705,460.56 and 296,468.64

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Solution

The fourth proportional to 511,201.20, 705,460.56 and 296,468.64 is: 409,128.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,201.20 : 705,460.56 = 296,468.64 : x
  2. Step 2: Convert to fraction form
    511,201.20/705,460.56 = 296,468.64/x
  3. Step 3: Cross multiply
    511,201.20x = 705,460.56 × 296,468.64
  4. Step 4: Simplify right side
    511,201.20x = 209,146,932,796.84
  5. Step 5: Solve for x
    x = 209,146,932,796.84/511,201.20
  6. Step 6: Final answer
    x = 409,128.41

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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.