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Finding the Fourth Proportional to 410,218.06, 615,392.15 and 173,562.50

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Solution

The fourth proportional to 410,218.06, 615,392.15 and 173,562.50 is: 260,371.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,218.06 : 615,392.15 = 173,562.50 : x
  2. Step 2: Convert to fraction form
    410,218.06/615,392.15 = 173,562.50/x
  3. Step 3: Cross multiply
    410,218.06x = 615,392.15 × 173,562.50
  4. Step 4: Simplify right side
    410,218.06x = 106,809,000,034.38
  5. Step 5: Solve for x
    x = 106,809,000,034.38/410,218.06
  6. Step 6: Final answer
    x = 260,371.28

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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.