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Finding the Fourth Proportional to 354,921.60, 532,771.20 and 197,457.60

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Solution

The fourth proportional to 354,921.60, 532,771.20 and 197,457.60 is: 296,402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,921.60 : 532,771.20 = 197,457.60 : x
  2. Step 2: Convert to fraction form
    354,921.60/532,771.20 = 197,457.60/x
  3. Step 3: Cross multiply
    354,921.60x = 532,771.20 × 197,457.60
  4. Step 4: Simplify right side
    354,921.60x = 105,199,722,501.12
  5. Step 5: Solve for x
    x = 105,199,722,501.12/354,921.60
  6. Step 6: Final answer
    x = 296,402.71

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1.5x scale

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.