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Finding the Fourth Proportional to 597,966.42, 825,200.10 and 326,032.08

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Solution

The fourth proportional to 597,966.42, 825,200.10 and 326,032.08 is: 449,927.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,966.42 : 825,200.10 = 326,032.08 : x
  2. Step 2: Convert to fraction form
    597,966.42/825,200.10 = 326,032.08/x
  3. Step 3: Cross multiply
    597,966.42x = 825,200.10 × 326,032.08
  4. Step 4: Simplify right side
    597,966.42x = 269,041,705,019.21
  5. Step 5: Solve for x
    x = 269,041,705,019.21/597,966.42
  6. Step 6: Final answer
    x = 449,927.78

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