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Finding the Fourth Proportional to 421,775.80, 582,063.66 and 230,797.24

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Solution

The fourth proportional to 421,775.80, 582,063.66 and 230,797.24 is: 318,507.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,775.80 : 582,063.66 = 230,797.24 : x
  2. Step 2: Convert to fraction form
    421,775.80/582,063.66 = 230,797.24/x
  3. Step 3: Cross multiply
    421,775.80x = 582,063.66 × 230,797.24
  4. Step 4: Simplify right side
    421,775.80x = 134,338,686,232.30
  5. Step 5: Solve for x
    x = 134,338,686,232.30/421,775.80
  6. Step 6: Final answer
    x = 318,507.34

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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.