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Finding the Fourth Proportional to 400,829.42, 601,299.50 and 134,666.06

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Solution

The fourth proportional to 400,829.42, 601,299.50 and 134,666.06 is: 202,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,829.42 : 601,299.50 = 134,666.06 : x
  2. Step 2: Convert to fraction form
    400,829.42/601,299.50 = 134,666.06/x
  3. Step 3: Cross multiply
    400,829.42x = 601,299.50 × 134,666.06
  4. Step 4: Simplify right side
    400,829.42x = 80,974,630,865.14
  5. Step 5: Solve for x
    x = 80,974,630,865.14/400,829.42
  6. Step 6: Final answer
    x = 202,017.68

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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.