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Finding the Fourth Proportional to 273,782.16, 409,812.88 and 174,054.96

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Solution

The fourth proportional to 273,782.16, 409,812.88 and 174,054.96 is: 260,535.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,782.16 : 409,812.88 = 174,054.96 : x
  2. Step 2: Convert to fraction form
    273,782.16/409,812.88 = 174,054.96/x
  3. Step 3: Cross multiply
    273,782.16x = 409,812.88 × 174,054.96
  4. Step 4: Simplify right side
    273,782.16x = 71,329,964,435.88
  5. Step 5: Solve for x
    x = 71,329,964,435.88/273,782.16
  6. Step 6: Final answer
    x = 260,535.47

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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.