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Finding the Fourth Proportional to 273,419.60, 410,129.40 and 160,984.40

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Solution

The fourth proportional to 273,419.60, 410,129.40 and 160,984.40 is: 241,476.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,419.60 : 410,129.40 = 160,984.40 : x
  2. Step 2: Convert to fraction form
    273,419.60/410,129.40 = 160,984.40/x
  3. Step 3: Cross multiply
    273,419.60x = 410,129.40 × 160,984.40
  4. Step 4: Simplify right side
    273,419.60x = 66,024,435,381.36
  5. Step 5: Solve for x
    x = 66,024,435,381.36/273,419.60
  6. Step 6: Final answer
    x = 241,476.60

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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.