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Finding the Fourth Proportional to 497,906.42, 746,860.08 and 213,412.35

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Solution

The fourth proportional to 497,906.42, 746,860.08 and 213,412.35 is: 320,118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,906.42 : 746,860.08 = 213,412.35 : x
  2. Step 2: Convert to fraction form
    497,906.42/746,860.08 = 213,412.35/x
  3. Step 3: Cross multiply
    497,906.42x = 746,860.08 × 213,412.35
  4. Step 4: Simplify right side
    497,906.42x = 159,389,164,793.99
  5. Step 5: Solve for x
    x = 159,389,164,793.99/497,906.42
  6. Step 6: Final answer
    x = 320,118.72

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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.