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Finding the Fourth Proportional to 488,296.06, 731,708.52 and 435,083.32

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Solution

The fourth proportional to 488,296.06, 731,708.52 and 435,083.32 is: 651,969.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,296.06 : 731,708.52 = 435,083.32 : x
  2. Step 2: Convert to fraction form
    488,296.06/731,708.52 = 435,083.32/x
  3. Step 3: Cross multiply
    488,296.06x = 731,708.52 × 435,083.32
  4. Step 4: Simplify right side
    488,296.06x = 318,354,172,153.89
  5. Step 5: Solve for x
    x = 318,354,172,153.89/488,296.06
  6. Step 6: Final answer
    x = 651,969.57

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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.