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Finding the Fourth Proportional to 301,724.96, 416,334.16 and 174,375.96

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Solution

The fourth proportional to 301,724.96, 416,334.16 and 174,375.96 is: 240,612.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,724.96 : 416,334.16 = 174,375.96 : x
  2. Step 2: Convert to fraction form
    301,724.96/416,334.16 = 174,375.96/x
  3. Step 3: Cross multiply
    301,724.96x = 416,334.16 × 174,375.96
  4. Step 4: Simplify right side
    301,724.96x = 72,598,668,830.79
  5. Step 5: Solve for x
    x = 72,598,668,830.79/301,724.96
  6. Step 6: Final answer
    x = 240,612.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.