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Finding the Fourth Proportional to 431,322.34, 595,059.30 and 259,282.15

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Solution

The fourth proportional to 431,322.34, 595,059.30 and 259,282.15 is: 357,709.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,322.34 : 595,059.30 = 259,282.15 : x
  2. Step 2: Convert to fraction form
    431,322.34/595,059.30 = 259,282.15/x
  3. Step 3: Cross multiply
    431,322.34x = 595,059.30 × 259,282.15
  4. Step 4: Simplify right side
    431,322.34x = 154,288,258,047.33
  5. Step 5: Solve for x
    x = 154,288,258,047.33/431,322.34
  6. Step 6: Final answer
    x = 357,709.87

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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.