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Finding the Fourth Proportional to 449,951.32, 673,701.45 and 316,631.80

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Solution

The fourth proportional to 449,951.32, 673,701.45 and 316,631.80 is: 474,085.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,951.32 : 673,701.45 = 316,631.80 : x
  2. Step 2: Convert to fraction form
    449,951.32/673,701.45 = 316,631.80/x
  3. Step 3: Cross multiply
    449,951.32x = 673,701.45 × 316,631.80
  4. Step 4: Simplify right side
    449,951.32x = 213,315,302,776.11
  5. Step 5: Solve for x
    x = 213,315,302,776.11/449,951.32
  6. Step 6: Final answer
    x = 474,085.29

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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.