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Finding the Fourth Proportional to 356,960.80, 535,700.16 and 287,676.64

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Solution

The fourth proportional to 356,960.80, 535,700.16 and 287,676.64 is: 431,723.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,960.80 : 535,700.16 = 287,676.64 : x
  2. Step 2: Convert to fraction form
    356,960.80/535,700.16 = 287,676.64/x
  3. Step 3: Cross multiply
    356,960.80x = 535,700.16 × 287,676.64
  4. Step 4: Simplify right side
    356,960.80x = 154,108,422,076.26
  5. Step 5: Solve for x
    x = 154,108,422,076.26/356,960.80
  6. Step 6: Final answer
    x = 431,723.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.