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Finding the Fourth Proportional to 268,466.30, 402,238.65 and 174,923.90

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Solution

The fourth proportional to 268,466.30, 402,238.65 and 174,923.90 is: 262,085.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,466.30 : 402,238.65 = 174,923.90 : x
  2. Step 2: Convert to fraction form
    268,466.30/402,238.65 = 174,923.90/x
  3. Step 3: Cross multiply
    268,466.30x = 402,238.65 × 174,923.90
  4. Step 4: Simplify right side
    268,466.30x = 70,361,153,388.74
  5. Step 5: Solve for x
    x = 70,361,153,388.74/268,466.30
  6. Step 6: Final answer
    x = 262,085.61

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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.