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Finding the Fourth Proportional to 488,408.60, 731,738.10 and 418,424.60

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Solution

The fourth proportional to 488,408.60, 731,738.10 and 418,424.60 is: 626,887.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,408.60 : 731,738.10 = 418,424.60 : x
  2. Step 2: Convert to fraction form
    488,408.60/731,738.10 = 418,424.60/x
  3. Step 3: Cross multiply
    488,408.60x = 731,738.10 × 418,424.60
  4. Step 4: Simplify right side
    488,408.60x = 306,177,221,797.26
  5. Step 5: Solve for x
    x = 306,177,221,797.26/488,408.60
  6. Step 6: Final answer
    x = 626,887.45

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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.