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Finding the Fourth Proportional to 271,416.96, 406,162.80 and 176,588.64

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Solution

The fourth proportional to 271,416.96, 406,162.80 and 176,588.64 is: 264,256.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,416.96 : 406,162.80 = 176,588.64 : x
  2. Step 2: Convert to fraction form
    271,416.96/406,162.80 = 176,588.64/x
  3. Step 3: Cross multiply
    271,416.96x = 406,162.80 × 176,588.64
  4. Step 4: Simplify right side
    271,416.96x = 71,723,736,470.59
  5. Step 5: Solve for x
    x = 71,723,736,470.59/271,416.96
  6. Step 6: Final answer
    x = 264,256.65

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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.