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Finding the Fourth Proportional to 286,598.50, 429,907.32 and 128,827.41

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Solution

The fourth proportional to 286,598.50, 429,907.32 and 128,827.41 is: 193,245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,598.50 : 429,907.32 = 128,827.41 : x
  2. Step 2: Convert to fraction form
    286,598.50/429,907.32 = 128,827.41/x
  3. Step 3: Cross multiply
    286,598.50x = 429,907.32 × 128,827.41
  4. Step 4: Simplify right side
    286,598.50x = 55,383,846,575.64
  5. Step 5: Solve for x
    x = 55,383,846,575.64/286,598.50
  6. Step 6: Final answer
    x = 193,245.42

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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.