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Finding the Fourth Proportional to 468,027.60, 701,405.16 and 197,931.20

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Solution

The fourth proportional to 468,027.60, 701,405.16 and 197,931.20 is: 296,627.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,027.60 : 701,405.16 = 197,931.20 : x
  2. Step 2: Convert to fraction form
    468,027.60/701,405.16 = 197,931.20/x
  3. Step 3: Cross multiply
    468,027.60x = 701,405.16 × 197,931.20
  4. Step 4: Simplify right side
    468,027.60x = 138,829,965,004.99
  5. Step 5: Solve for x
    x = 138,829,965,004.99/468,027.60
  6. Step 6: Final answer
    x = 296,627.73

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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.