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Finding the Fourth Proportional to 354,586.64, 531,580.60 and 154,760.24

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Solution

The fourth proportional to 354,586.64, 531,580.60 and 154,760.24 is: 232,009.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,586.64 : 531,580.60 = 154,760.24 : x
  2. Step 2: Convert to fraction form
    354,586.64/531,580.60 = 154,760.24/x
  3. Step 3: Cross multiply
    354,586.64x = 531,580.60 × 154,760.24
  4. Step 4: Simplify right side
    354,586.64x = 82,267,541,235.34
  5. Step 5: Solve for x
    x = 82,267,541,235.34/354,586.64
  6. Step 6: Final answer
    x = 232,009.70

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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.