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Finding the Fourth Proportional to 356,080, 533,704.96 and 198,232.96

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Solution

The fourth proportional to 356,080, 533,704.96 and 198,232.96 is: 297,118.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,080 : 533,704.96 = 198,232.96 : x
  2. Step 2: Convert to fraction form
    356,080/533,704.96 = 198,232.96/x
  3. Step 3: Cross multiply
    356,080x = 533,704.96 × 198,232.96
  4. Step 4: Simplify right side
    356,080x = 105,797,913,987.48
  5. Step 5: Solve for x
    x = 105,797,913,987.48/356,080
  6. Step 6: Final answer
    x = 297,118.38

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1.5x scale

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.