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Finding the Fourth Proportional to 273,830.30, 409,746.31 and 161,564.30

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Solution

The fourth proportional to 273,830.30, 409,746.31 and 161,564.30 is: 241,756.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,830.30 : 409,746.31 = 161,564.30 : x
  2. Step 2: Convert to fraction form
    273,830.30/409,746.31 = 161,564.30/x
  3. Step 3: Cross multiply
    273,830.30x = 409,746.31 × 161,564.30
  4. Step 4: Simplify right side
    273,830.30x = 66,200,373,300.09
  5. Step 5: Solve for x
    x = 66,200,373,300.09/273,830.30
  6. Step 6: Final answer
    x = 241,756.94

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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.