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Finding the Fourth Proportional to 650,930.89, 975,707.42 and 296,194.03

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Solution

The fourth proportional to 650,930.89, 975,707.42 and 296,194.03 is: 443,977.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,930.89 : 975,707.42 = 296,194.03 : x
  2. Step 2: Convert to fraction form
    650,930.89/975,707.42 = 296,194.03/x
  3. Step 3: Cross multiply
    650,930.89x = 975,707.42 × 296,194.03
  4. Step 4: Simplify right side
    650,930.89x = 288,998,712,830.70
  5. Step 5: Solve for x
    x = 288,998,712,830.70/650,930.89
  6. Step 6: Final answer
    x = 443,977.57

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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.