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Finding the Fourth Proportional to 327,404.60, 491,106.90 and 313,407.80

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Solution

The fourth proportional to 327,404.60, 491,106.90 and 313,407.80 is: 470,111.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,404.60 : 491,106.90 = 313,407.80 : x
  2. Step 2: Convert to fraction form
    327,404.60/491,106.90 = 313,407.80/x
  3. Step 3: Cross multiply
    327,404.60x = 491,106.90 × 313,407.80
  4. Step 4: Simplify right side
    327,404.60x = 153,916,733,093.82
  5. Step 5: Solve for x
    x = 153,916,733,093.82/327,404.60
  6. Step 6: Final answer
    x = 470,111.70

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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.