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Finding the Fourth Proportional to 293,880, 405,598.74 and 179,225.16

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Solution

The fourth proportional to 293,880, 405,598.74 and 179,225.16 is: 247,357.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,880 : 405,598.74 = 179,225.16 : x
  2. Step 2: Convert to fraction form
    293,880/405,598.74 = 179,225.16/x
  3. Step 3: Cross multiply
    293,880x = 405,598.74 × 179,225.16
  4. Step 4: Simplify right side
    293,880x = 72,693,499,072.30
  5. Step 5: Solve for x
    x = 72,693,499,072.30/293,880
  6. Step 6: Final answer
    x = 247,357.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.