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Finding the Fourth Proportional to 447,736.66, 617,676.96 and 302,495.74

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Solution

The fourth proportional to 447,736.66, 617,676.96 and 302,495.74 is: 417,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,736.66 : 617,676.96 = 302,495.74 : x
  2. Step 2: Convert to fraction form
    447,736.66/617,676.96 = 302,495.74/x
  3. Step 3: Cross multiply
    447,736.66x = 617,676.96 × 302,495.74
  4. Step 4: Simplify right side
    447,736.66x = 186,844,649,096.15
  5. Step 5: Solve for x
    x = 186,844,649,096.15/447,736.66
  6. Step 6: Final answer
    x = 417,309.25

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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.