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Finding the Fourth Proportional to 650,172.76, 974,594.22 and 223,580.68

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Solution

The fourth proportional to 650,172.76, 974,594.22 and 223,580.68 is: 335,142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,172.76 : 974,594.22 = 223,580.68 : x
  2. Step 2: Convert to fraction form
    650,172.76/974,594.22 = 223,580.68/x
  3. Step 3: Cross multiply
    650,172.76x = 974,594.22 × 223,580.68
  4. Step 4: Simplify right side
    650,172.76x = 217,900,438,431.67
  5. Step 5: Solve for x
    x = 217,900,438,431.67/650,172.76
  6. Step 6: Final answer
    x = 335,142.37

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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.