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Finding the Fourth Proportional to 383,883.96, 529,758.40 and 211,812.65

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Solution

The fourth proportional to 383,883.96, 529,758.40 and 211,812.65 is: 292,300.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,883.96 : 529,758.40 = 211,812.65 : x
  2. Step 2: Convert to fraction form
    383,883.96/529,758.40 = 211,812.65/x
  3. Step 3: Cross multiply
    383,883.96x = 529,758.40 × 211,812.65
  4. Step 4: Simplify right side
    383,883.96x = 112,209,526,855.91
  5. Step 5: Solve for x
    x = 112,209,526,855.91/383,883.96
  6. Step 6: Final answer
    x = 292,300.64

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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.