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Finding the Fourth Proportional to 488,977.60, 733,466.40 and 471,262.90

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Solution

The fourth proportional to 488,977.60, 733,466.40 and 471,262.90 is: 706,894.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,977.60 : 733,466.40 = 471,262.90 : x
  2. Step 2: Convert to fraction form
    488,977.60/733,466.40 = 471,262.90/x
  3. Step 3: Cross multiply
    488,977.60x = 733,466.40 × 471,262.90
  4. Step 4: Simplify right side
    488,977.60x = 345,655,502,716.56
  5. Step 5: Solve for x
    x = 345,655,502,716.56/488,977.60
  6. Step 6: Final answer
    x = 706,894.35

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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.