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Finding the Fourth Proportional to 540,714.13, 811,062.29 and 161,635.75

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Solution

The fourth proportional to 540,714.13, 811,062.29 and 161,635.75 is: 242,450.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,714.13 : 811,062.29 = 161,635.75 : x
  2. Step 2: Convert to fraction form
    540,714.13/811,062.29 = 161,635.75/x
  3. Step 3: Cross multiply
    540,714.13x = 811,062.29 × 161,635.75
  4. Step 4: Simplify right side
    540,714.13x = 131,096,663,164.43
  5. Step 5: Solve for x
    x = 131,096,663,164.43/540,714.13
  6. Step 6: Final answer
    x = 242,450.96

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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.