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Finding the Fourth Proportional to 494,284.53, 741,430.71 and 323,650.07

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Solution

The fourth proportional to 494,284.53, 741,430.71 and 323,650.07 is: 485,477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,284.53 : 741,430.71 = 323,650.07 : x
  2. Step 2: Convert to fraction form
    494,284.53/741,430.71 = 323,650.07/x
  3. Step 3: Cross multiply
    494,284.53x = 741,430.71 × 323,650.07
  4. Step 4: Simplify right side
    494,284.53x = 239,964,097,484.50
  5. Step 5: Solve for x
    x = 239,964,097,484.50/494,284.53
  6. Step 6: Final answer
    x = 485,477.66

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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.