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Finding the Fourth Proportional to 531,225, 796,993.56 and 157,257.72

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Solution

The fourth proportional to 531,225, 796,993.56 and 157,257.72 is: 235,932.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,225 : 796,993.56 = 157,257.72 : x
  2. Step 2: Convert to fraction form
    531,225/796,993.56 = 157,257.72/x
  3. Step 3: Cross multiply
    531,225x = 796,993.56 × 157,257.72
  4. Step 4: Simplify right side
    531,225x = 125,333,390,100.28
  5. Step 5: Solve for x
    x = 125,333,390,100.28/531,225
  6. Step 6: Final answer
    x = 235,932.78

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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.