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Finding the Fourth Proportional to 313,514.72, 470,151.74 and 133,486.01

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Solution

The fourth proportional to 313,514.72, 470,151.74 and 133,486.01 is: 200,177.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,514.72 : 470,151.74 = 133,486.01 : x
  2. Step 2: Convert to fraction form
    313,514.72/470,151.74 = 133,486.01/x
  3. Step 3: Cross multiply
    313,514.72x = 470,151.74 × 133,486.01
  4. Step 4: Simplify right side
    313,514.72x = 62,758,678,524.92
  5. Step 5: Solve for x
    x = 62,758,678,524.92/313,514.72
  6. Step 6: Final answer
    x = 200,177.77

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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.