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Finding the Fourth Proportional to 348,000.34, 522,003.59 and 137,638.30

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Solution

The fourth proportional to 348,000.34, 522,003.59 and 137,638.30 is: 206,458.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,000.34 : 522,003.59 = 137,638.30 : x
  2. Step 2: Convert to fraction form
    348,000.34/522,003.59 = 137,638.30/x
  3. Step 3: Cross multiply
    348,000.34x = 522,003.59 × 137,638.30
  4. Step 4: Simplify right side
    348,000.34x = 71,847,686,721.50
  5. Step 5: Solve for x
    x = 71,847,686,721.50/348,000.34
  6. Step 6: Final answer
    x = 206,458.67

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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.