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Finding the Fourth Proportional to 511,632.92, 705,881.58 and 296,694.56

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Solution

The fourth proportional to 511,632.92, 705,881.58 and 296,694.56 is: 409,338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,632.92 : 705,881.58 = 296,694.56 : x
  2. Step 2: Convert to fraction form
    511,632.92/705,881.58 = 296,694.56/x
  3. Step 3: Cross multiply
    511,632.92x = 705,881.58 × 296,694.56
  4. Step 4: Simplify right side
    511,632.92x = 209,431,224,790.21
  5. Step 5: Solve for x
    x = 209,431,224,790.21/511,632.92
  6. Step 6: Final answer
    x = 409,338.84

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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.