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Finding the Fourth Proportional to 493,622.60, 741,308.70 and 381,575.30

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Solution

The fourth proportional to 493,622.60, 741,308.70 and 381,575.30 is: 573,039.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,622.60 : 741,308.70 = 381,575.30 : x
  2. Step 2: Convert to fraction form
    493,622.60/741,308.70 = 381,575.30/x
  3. Step 3: Cross multiply
    493,622.60x = 741,308.70 × 381,575.30
  4. Step 4: Simplify right side
    493,622.60x = 282,865,089,595.11
  5. Step 5: Solve for x
    x = 282,865,089,595.11/493,622.60
  6. Step 6: Final answer
    x = 573,039.18

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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.