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Finding the Fourth Proportional to 378,129.84, 521,501.32 and 227,197.68

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Solution

The fourth proportional to 378,129.84, 521,501.32 and 227,197.68 is: 313,341.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,129.84 : 521,501.32 = 227,197.68 : x
  2. Step 2: Convert to fraction form
    378,129.84/521,501.32 = 227,197.68/x
  3. Step 3: Cross multiply
    378,129.84x = 521,501.32 × 227,197.68
  4. Step 4: Simplify right side
    378,129.84x = 118,483,890,020.94
  5. Step 5: Solve for x
    x = 118,483,890,020.94/378,129.84
  6. Step 6: Final answer
    x = 313,341.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.