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Finding the Fourth Proportional to 286,341.38, 429,511.53 and 75,962.78

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Solution

The fourth proportional to 286,341.38, 429,511.53 and 75,962.78 is: 113,944.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,341.38 : 429,511.53 = 75,962.78 : x
  2. Step 2: Convert to fraction form
    286,341.38/429,511.53 = 75,962.78/x
  3. Step 3: Cross multiply
    286,341.38x = 429,511.53 × 75,962.78
  4. Step 4: Simplify right side
    286,341.38x = 32,626,889,860.85
  5. Step 5: Solve for x
    x = 32,626,889,860.85/286,341.38
  6. Step 6: Final answer
    x = 113,944.03

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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.