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Finding the Fourth Proportional to 397,034.40, 595,423.56 and 130,731.60

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Solution

The fourth proportional to 397,034.40, 595,423.56 and 130,731.60 is: 196,055.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,034.40 : 595,423.56 = 130,731.60 : x
  2. Step 2: Convert to fraction form
    397,034.40/595,423.56 = 130,731.60/x
  3. Step 3: Cross multiply
    397,034.40x = 595,423.56 × 130,731.60
  4. Step 4: Simplify right side
    397,034.40x = 77,840,674,676.50
  5. Step 5: Solve for x
    x = 77,840,674,676.50/397,034.40
  6. Step 6: Final answer
    x = 196,055.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.