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Finding the Fourth Proportional to 541,125, 746,750.07 and 311,598.54

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Solution

The fourth proportional to 541,125, 746,750.07 and 311,598.54 is: 430,004.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,125 : 746,750.07 = 311,598.54 : x
  2. Step 2: Convert to fraction form
    541,125/746,750.07 = 311,598.54/x
  3. Step 3: Cross multiply
    541,125x = 746,750.07 × 311,598.54
  4. Step 4: Simplify right side
    541,125x = 232,686,231,556.90
  5. Step 5: Solve for x
    x = 232,686,231,556.90/541,125
  6. Step 6: Final answer
    x = 430,004.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.