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Finding the Fourth Proportional to 273,795.85, 410,708.27 and 84,386.31

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Solution

The fourth proportional to 273,795.85, 410,708.27 and 84,386.31 is: 126,583.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,795.85 : 410,708.27 = 84,386.31 : x
  2. Step 2: Convert to fraction form
    273,795.85/410,708.27 = 84,386.31/x
  3. Step 3: Cross multiply
    273,795.85x = 410,708.27 × 84,386.31
  4. Step 4: Simplify right side
    273,795.85x = 34,658,154,062.59
  5. Step 5: Solve for x
    x = 34,658,154,062.59/273,795.85
  6. Step 6: Final answer
    x = 126,583.93

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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.