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Finding the Fourth Proportional to 342,469.60, 513,704.40 and 185,005.60

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Solution

The fourth proportional to 342,469.60, 513,704.40 and 185,005.60 is: 277,508.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,469.60 : 513,704.40 = 185,005.60 : x
  2. Step 2: Convert to fraction form
    342,469.60/513,704.40 = 185,005.60/x
  3. Step 3: Cross multiply
    342,469.60x = 513,704.40 × 185,005.60
  4. Step 4: Simplify right side
    342,469.60x = 95,038,190,744.64
  5. Step 5: Solve for x
    x = 95,038,190,744.64/342,469.60
  6. Step 6: Final answer
    x = 277,508.40

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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.