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Finding the Fourth Proportional to 354,224.60, 531,463.80 and 151,735.76

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Solution

The fourth proportional to 354,224.60, 531,463.80 and 151,735.76 is: 227,658.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,224.60 : 531,463.80 = 151,735.76 : x
  2. Step 2: Convert to fraction form
    354,224.60/531,463.80 = 151,735.76/x
  3. Step 3: Cross multiply
    354,224.60x = 531,463.80 × 151,735.76
  4. Step 4: Simplify right side
    354,224.60x = 80,642,063,605.49
  5. Step 5: Solve for x
    x = 80,642,063,605.49/354,224.60
  6. Step 6: Final answer
    x = 227,658.00

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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.