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Finding the Fourth Proportional to 488,451.58, 731,791.60 and 477,822.76

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Solution

The fourth proportional to 488,451.58, 731,791.60 and 477,822.76 is: 715,867.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,451.58 : 731,791.60 = 477,822.76 : x
  2. Step 2: Convert to fraction form
    488,451.58/731,791.60 = 477,822.76/x
  3. Step 3: Cross multiply
    488,451.58x = 731,791.60 × 477,822.76
  4. Step 4: Simplify right side
    488,451.58x = 349,666,679,032.78
  5. Step 5: Solve for x
    x = 349,666,679,032.78/488,451.58
  6. Step 6: Final answer
    x = 715,867.64

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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.