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Finding the Fourth Proportional to 430,934.50, 646,401.75 and 135,446.50

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Solution

The fourth proportional to 430,934.50, 646,401.75 and 135,446.50 is: 203,169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,934.50 : 646,401.75 = 135,446.50 : x
  2. Step 2: Convert to fraction form
    430,934.50/646,401.75 = 135,446.50/x
  3. Step 3: Cross multiply
    430,934.50x = 646,401.75 × 135,446.50
  4. Step 4: Simplify right side
    430,934.50x = 87,552,854,631.38
  5. Step 5: Solve for x
    x = 87,552,854,631.38/430,934.50
  6. Step 6: Final answer
    x = 203,169.75

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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.