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Finding the Fourth Proportional to 488,446.41, 674,056.02 and 297,459.81

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Solution

The fourth proportional to 488,446.41, 674,056.02 and 297,459.81 is: 410,494.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,446.41 : 674,056.02 = 297,459.81 : x
  2. Step 2: Convert to fraction form
    488,446.41/674,056.02 = 297,459.81/x
  3. Step 3: Cross multiply
    488,446.41x = 674,056.02 × 297,459.81
  4. Step 4: Simplify right side
    488,446.41x = 200,504,575,638.56
  5. Step 5: Solve for x
    x = 200,504,575,638.56/488,446.41
  6. Step 6: Final answer
    x = 410,494.52

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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.