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Finding the Fourth Proportional to 286,617.36, 429,925.50 and 76,255.32

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Solution

The fourth proportional to 286,617.36, 429,925.50 and 76,255.32 is: 114,382.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,617.36 : 429,925.50 = 76,255.32 : x
  2. Step 2: Convert to fraction form
    286,617.36/429,925.50 = 76,255.32/x
  3. Step 3: Cross multiply
    286,617.36x = 429,925.50 × 76,255.32
  4. Step 4: Simplify right side
    286,617.36x = 32,784,106,578.66
  5. Step 5: Solve for x
    x = 32,784,106,578.66/286,617.36
  6. Step 6: Final answer
    x = 114,382.84

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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.