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Finding the Fourth Proportional to 273,217.60, 409,826.40 and 166,929.40

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Solution

The fourth proportional to 273,217.60, 409,826.40 and 166,929.40 is: 250,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,217.60 : 409,826.40 = 166,929.40 : x
  2. Step 2: Convert to fraction form
    273,217.60/409,826.40 = 166,929.40/x
  3. Step 3: Cross multiply
    273,217.60x = 409,826.40 × 166,929.40
  4. Step 4: Simplify right side
    273,217.60x = 68,412,075,056.16
  5. Step 5: Solve for x
    x = 68,412,075,056.16/273,217.60
  6. Step 6: Final answer
    x = 250,394.10

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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.