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Finding the Fourth Proportional to 338,541.52, 507,861.50 and 180,683.86

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Solution

The fourth proportional to 338,541.52, 507,861.50 and 180,683.86 is: 271,052.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,541.52 : 507,861.50 = 180,683.86 : x
  2. Step 2: Convert to fraction form
    338,541.52/507,861.50 = 180,683.86/x
  3. Step 3: Cross multiply
    338,541.52x = 507,861.50 × 180,683.86
  4. Step 4: Simplify right side
    338,541.52x = 91,762,376,165.39
  5. Step 5: Solve for x
    x = 91,762,376,165.39/338,541.52
  6. Step 6: Final answer
    x = 271,052.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.