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Finding the Fourth Proportional to 488,296.56, 731,709.27 and 435,083.82

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Solution

The fourth proportional to 488,296.56, 731,709.27 and 435,083.82 is: 651,970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,296.56 : 731,709.27 = 435,083.82 : x
  2. Step 2: Convert to fraction form
    488,296.56/731,709.27 = 435,083.82/x
  3. Step 3: Cross multiply
    488,296.56x = 731,709.27 × 435,083.82
  4. Step 4: Simplify right side
    488,296.56x = 318,354,864,321.01
  5. Step 5: Solve for x
    x = 318,354,864,321.01/488,296.56
  6. Step 6: Final answer
    x = 651,970.32

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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.