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Finding the Fourth Proportional to 255,635.40, 383,453.10 and 210,534.60

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Solution

The fourth proportional to 255,635.40, 383,453.10 and 210,534.60 is: 315,801.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,635.40 : 383,453.10 = 210,534.60 : x
  2. Step 2: Convert to fraction form
    255,635.40/383,453.10 = 210,534.60/x
  3. Step 3: Cross multiply
    255,635.40x = 383,453.10 × 210,534.60
  4. Step 4: Simplify right side
    255,635.40x = 80,730,145,027.26
  5. Step 5: Solve for x
    x = 80,730,145,027.26/255,635.40
  6. Step 6: Final answer
    x = 315,801.90

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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.