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Finding the Fourth Proportional to 384,404.53, 530,475.09 and 209,974.88

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Solution

The fourth proportional to 384,404.53, 530,475.09 and 209,974.88 is: 289,763.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,404.53 : 530,475.09 = 209,974.88 : x
  2. Step 2: Convert to fraction form
    384,404.53/530,475.09 = 209,974.88/x
  3. Step 3: Cross multiply
    384,404.53x = 530,475.09 × 209,974.88
  4. Step 4: Simplify right side
    384,404.53x = 111,386,442,840.80
  5. Step 5: Solve for x
    x = 111,386,442,840.80/384,404.53
  6. Step 6: Final answer
    x = 289,763.60

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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.