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Finding the Fourth Proportional to 450,144.25, 674,466.71 and 316,744.25

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Solution

The fourth proportional to 450,144.25, 674,466.71 and 316,744.25 is: 474,588.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,144.25 : 674,466.71 = 316,744.25 : x
  2. Step 2: Convert to fraction form
    450,144.25/674,466.71 = 316,744.25/x
  3. Step 3: Cross multiply
    450,144.25x = 674,466.71 × 316,744.25
  4. Step 4: Simplify right side
    450,144.25x = 213,633,453,499.15
  5. Step 5: Solve for x
    x = 213,633,453,499.15/450,144.25
  6. Step 6: Final answer
    x = 474,588.87

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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.