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Finding the Fourth Proportional to 613,354.50, 846,428.94 and 341,416.44

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Solution

The fourth proportional to 613,354.50, 846,428.94 and 341,416.44 is: 471,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,354.50 : 846,428.94 = 341,416.44 : x
  2. Step 2: Convert to fraction form
    613,354.50/846,428.94 = 341,416.44/x
  3. Step 3: Cross multiply
    613,354.50x = 846,428.94 × 341,416.44
  4. Step 4: Simplify right side
    613,354.50x = 288,984,755,407.77
  5. Step 5: Solve for x
    x = 288,984,755,407.77/613,354.50
  6. Step 6: Final answer
    x = 471,154.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.