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Finding the Fourth Proportional to 499,314.42, 749,003.16 and 211,072.32

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Solution

The fourth proportional to 499,314.42, 749,003.16 and 211,072.32 is: 316,621.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,314.42 : 749,003.16 = 211,072.32 : x
  2. Step 2: Convert to fraction form
    499,314.42/749,003.16 = 211,072.32/x
  3. Step 3: Cross multiply
    499,314.42x = 749,003.16 × 211,072.32
  4. Step 4: Simplify right side
    499,314.42x = 158,093,834,668.53
  5. Step 5: Solve for x
    x = 158,093,834,668.53/499,314.42
  6. Step 6: Final answer
    x = 316,621.81

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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.