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Finding the Fourth Proportional to 511,230.24, 705,500.52 and 296,497.64

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Solution

The fourth proportional to 511,230.24, 705,500.52 and 296,497.64 is: 409,168.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,230.24 : 705,500.52 = 296,497.64 : x
  2. Step 2: Convert to fraction form
    511,230.24/705,500.52 = 296,497.64/x
  3. Step 3: Cross multiply
    511,230.24x = 705,500.52 × 296,497.64
  4. Step 4: Simplify right side
    511,230.24x = 209,179,239,198.77
  5. Step 5: Solve for x
    x = 209,179,239,198.77/511,230.24
  6. Step 6: Final answer
    x = 409,168.36

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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.