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Finding the Fourth Proportional to 228,400.85, 342,462.54 and 114,416.09

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Solution

The fourth proportional to 228,400.85, 342,462.54 and 114,416.09 is: 171,554.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,400.85 : 342,462.54 = 114,416.09 : x
  2. Step 2: Convert to fraction form
    228,400.85/342,462.54 = 114,416.09/x
  3. Step 3: Cross multiply
    228,400.85x = 342,462.54 × 114,416.09
  4. Step 4: Simplify right side
    228,400.85x = 39,183,224,798.27
  5. Step 5: Solve for x
    x = 39,183,224,798.27/228,400.85
  6. Step 6: Final answer
    x = 171,554.64

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1.5x scale

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.