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Finding the Fourth Proportional to 274,116, 411,234.48 and 116,479.20

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Solution

The fourth proportional to 274,116, 411,234.48 and 116,479.20 is: 174,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,116 : 411,234.48 = 116,479.20 : x
  2. Step 2: Convert to fraction form
    274,116/411,234.48 = 116,479.20/x
  3. Step 3: Cross multiply
    274,116x = 411,234.48 × 116,479.20
  4. Step 4: Simplify right side
    274,116x = 47,900,263,242.82
  5. Step 5: Solve for x
    x = 47,900,263,242.82/274,116
  6. Step 6: Final answer
    x = 174,744.50

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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.