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Finding the Fourth Proportional to 273,678.80, 410,825.40 and 211,624.40

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Solution

The fourth proportional to 273,678.80, 410,825.40 and 211,624.40 is: 317,674.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,678.80 : 410,825.40 = 211,624.40 : x
  2. Step 2: Convert to fraction form
    273,678.80/410,825.40 = 211,624.40/x
  3. Step 3: Cross multiply
    273,678.80x = 410,825.40 × 211,624.40
  4. Step 4: Simplify right side
    273,678.80x = 86,940,678,779.76
  5. Step 5: Solve for x
    x = 86,940,678,779.76/273,678.80
  6. Step 6: Final answer
    x = 317,674.14

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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.