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Finding the Fourth Proportional to 469,484.34, 647,828.94 and 278,460.42

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Solution

The fourth proportional to 469,484.34, 647,828.94 and 278,460.42 is: 384,240.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,484.34 : 647,828.94 = 278,460.42 : x
  2. Step 2: Convert to fraction form
    469,484.34/647,828.94 = 278,460.42/x
  3. Step 3: Cross multiply
    469,484.34x = 647,828.94 × 278,460.42
  4. Step 4: Simplify right side
    469,484.34x = 180,394,718,720.56
  5. Step 5: Solve for x
    x = 180,394,718,720.56/469,484.34
  6. Step 6: Final answer
    x = 384,240.12

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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.