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Finding the Fourth Proportional to 267,007.40, 400,448.78 and 77,416.88

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Solution

The fourth proportional to 267,007.40, 400,448.78 and 77,416.88 is: 116,107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,007.40 : 400,448.78 = 77,416.88 : x
  2. Step 2: Convert to fraction form
    267,007.40/400,448.78 = 77,416.88/x
  3. Step 3: Cross multiply
    267,007.40x = 400,448.78 × 77,416.88
  4. Step 4: Simplify right side
    267,007.40x = 31,001,495,147.41
  5. Step 5: Solve for x
    x = 31,001,495,147.41/267,007.40
  6. Step 6: Final answer
    x = 116,107.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.