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Finding the Fourth Proportional to 410,039.83, 615,103.50 and 173,406.43

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Solution

The fourth proportional to 410,039.83, 615,103.50 and 173,406.43 is: 260,128.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,039.83 : 615,103.50 = 173,406.43 : x
  2. Step 2: Convert to fraction form
    410,039.83/615,103.50 = 173,406.43/x
  3. Step 3: Cross multiply
    410,039.83x = 615,103.50 × 173,406.43
  4. Step 4: Simplify right side
    410,039.83x = 106,662,902,015.51
  5. Step 5: Solve for x
    x = 106,662,902,015.51/410,039.83
  6. Step 6: Final answer
    x = 260,128.15

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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.