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Finding the Fourth Proportional to 497,895.86, 746,842.65 and 213,401.94

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Solution

The fourth proportional to 497,895.86, 746,842.65 and 213,401.94 is: 320,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,895.86 : 746,842.65 = 213,401.94 : x
  2. Step 2: Convert to fraction form
    497,895.86/746,842.65 = 213,401.94/x
  3. Step 3: Cross multiply
    497,895.86x = 746,842.65 × 213,401.94
  4. Step 4: Simplify right side
    497,895.86x = 159,377,672,785.39
  5. Step 5: Solve for x
    x = 159,377,672,785.39/497,895.86
  6. Step 6: Final answer
    x = 320,102.42

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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.