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Finding the Fourth Proportional to 400,334.65, 600,162.84 and 175,524.72

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Solution

The fourth proportional to 400,334.65, 600,162.84 and 175,524.72 is: 263,138.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,334.65 : 600,162.84 = 175,524.72 : x
  2. Step 2: Convert to fraction form
    400,334.65/600,162.84 = 175,524.72/x
  3. Step 3: Cross multiply
    400,334.65x = 600,162.84 × 175,524.72
  4. Step 4: Simplify right side
    400,334.65x = 105,343,414,445.41
  5. Step 5: Solve for x
    x = 105,343,414,445.41/400,334.65
  6. Step 6: Final answer
    x = 263,138.39

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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.