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Finding the Fourth Proportional to 273,772.80, 410,966.40 and 211,718.40

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Solution

The fourth proportional to 273,772.80, 410,966.40 and 211,718.40 is: 317,815.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,772.80 : 410,966.40 = 211,718.40 : x
  2. Step 2: Convert to fraction form
    273,772.80/410,966.40 = 211,718.40/x
  3. Step 3: Cross multiply
    273,772.80x = 410,966.40 × 211,718.40
  4. Step 4: Simplify right side
    273,772.80x = 87,009,148,661.76
  5. Step 5: Solve for x
    x = 87,009,148,661.76/273,772.80
  6. Step 6: Final answer
    x = 317,815.17

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Why These Related Problems?

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