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Finding the Fourth Proportional to 338,604.46, 507,461.07 and 188,915.23

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Solution

The fourth proportional to 338,604.46, 507,461.07 and 188,915.23 is: 283,124.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,604.46 : 507,461.07 = 188,915.23 : x
  2. Step 2: Convert to fraction form
    338,604.46/507,461.07 = 188,915.23/x
  3. Step 3: Cross multiply
    338,604.46x = 507,461.07 × 188,915.23
  4. Step 4: Simplify right side
    338,604.46x = 95,867,124,755.10
  5. Step 5: Solve for x
    x = 95,867,124,755.10/338,604.46
  6. Step 6: Final answer
    x = 283,124.22

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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.