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Finding the Fourth Proportional to 511,568.10, 705,962.52 and 296,833.86

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Solution

The fourth proportional to 511,568.10, 705,962.52 and 296,833.86 is: 409,629.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,568.10 : 705,962.52 = 296,833.86 : x
  2. Step 2: Convert to fraction form
    511,568.10/705,962.52 = 296,833.86/x
  3. Step 3: Cross multiply
    511,568.10x = 705,962.52 × 296,833.86
  4. Step 4: Simplify right side
    511,568.10x = 209,553,579,826.93
  5. Step 5: Solve for x
    x = 209,553,579,826.93/511,568.10
  6. Step 6: Final answer
    x = 409,629.88

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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.