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Finding the Fourth Proportional to 360,913, 498,047.46 and 199,775.08

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Solution

The fourth proportional to 360,913, 498,047.46 and 199,775.08 is: 275,682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,913 : 498,047.46 = 199,775.08 : x
  2. Step 2: Convert to fraction form
    360,913/498,047.46 = 199,775.08/x
  3. Step 3: Cross multiply
    360,913x = 498,047.46 × 199,775.08
  4. Step 4: Simplify right side
    360,913x = 99,497,471,165.30
  5. Step 5: Solve for x
    x = 99,497,471,165.30/360,913
  6. Step 6: Final answer
    x = 275,682.70

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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.