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Finding the Fourth Proportional to 521,563.60, 782,863.80 and 255,624.40

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Solution

The fourth proportional to 521,563.60, 782,863.80 and 255,624.40 is: 383,690.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,563.60 : 782,863.80 = 255,624.40 : x
  2. Step 2: Convert to fraction form
    521,563.60/782,863.80 = 255,624.40/x
  3. Step 3: Cross multiply
    521,563.60x = 782,863.80 × 255,624.40
  4. Step 4: Simplify right side
    521,563.60x = 200,119,089,156.72
  5. Step 5: Solve for x
    x = 200,119,089,156.72/521,563.60
  6. Step 6: Final answer
    x = 383,690.67

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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.