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Finding the Fourth Proportional to 309,786.30, 463,930.98 and 176,262.03

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Solution

The fourth proportional to 309,786.30, 463,930.98 and 176,262.03 is: 263,967.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,786.30 : 463,930.98 = 176,262.03 : x
  2. Step 2: Convert to fraction form
    309,786.30/463,930.98 = 176,262.03/x
  3. Step 3: Cross multiply
    309,786.30x = 463,930.98 × 176,262.03
  4. Step 4: Simplify right side
    309,786.30x = 81,773,416,314.69
  5. Step 5: Solve for x
    x = 81,773,416,314.69/309,786.30
  6. Step 6: Final answer
    x = 263,967.18

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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.