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Finding the Fourth Proportional to 306,060.70, 459,091.05 and 164,343.10

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Solution

The fourth proportional to 306,060.70, 459,091.05 and 164,343.10 is: 246,514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,060.70 : 459,091.05 = 164,343.10 : x
  2. Step 2: Convert to fraction form
    306,060.70/459,091.05 = 164,343.10/x
  3. Step 3: Cross multiply
    306,060.70x = 459,091.05 × 164,343.10
  4. Step 4: Simplify right side
    306,060.70x = 75,448,446,339.26
  5. Step 5: Solve for x
    x = 75,448,446,339.26/306,060.70
  6. Step 6: Final answer
    x = 246,514.65

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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.