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Finding the Fourth Proportional to 273,390.10, 410,522.55 and 206,905.30

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Solution

The fourth proportional to 273,390.10, 410,522.55 and 206,905.30 is: 310,688.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,390.10 : 410,522.55 = 206,905.30 : x
  2. Step 2: Convert to fraction form
    273,390.10/410,522.55 = 206,905.30/x
  3. Step 3: Cross multiply
    273,390.10x = 410,522.55 × 206,905.30
  4. Step 4: Simplify right side
    273,390.10x = 84,939,291,364.52
  5. Step 5: Solve for x
    x = 84,939,291,364.52/273,390.10
  6. Step 6: Final answer
    x = 310,688.98

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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.