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Finding the Fourth Proportional to 596,162.56, 894,250.32 and 175,446.40

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Solution

The fourth proportional to 596,162.56, 894,250.32 and 175,446.40 is: 263,171.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,162.56 : 894,250.32 = 175,446.40 : x
  2. Step 2: Convert to fraction form
    596,162.56/894,250.32 = 175,446.40/x
  3. Step 3: Cross multiply
    596,162.56x = 894,250.32 × 175,446.40
  4. Step 4: Simplify right side
    596,162.56x = 156,892,999,342.85
  5. Step 5: Solve for x
    x = 156,892,999,342.85/596,162.56
  6. Step 6: Final answer
    x = 263,171.51

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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.