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Finding the Fourth Proportional to 301,808.20, 416,470.94 and 174,492

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Solution

The fourth proportional to 301,808.20, 416,470.94 and 174,492 is: 240,784.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,808.20 : 416,470.94 = 174,492 : x
  2. Step 2: Convert to fraction form
    301,808.20/416,470.94 = 174,492/x
  3. Step 3: Cross multiply
    301,808.20x = 416,470.94 × 174,492
  4. Step 4: Simplify right side
    301,808.20x = 72,670,847,262.48
  5. Step 5: Solve for x
    x = 72,670,847,262.48/301,808.20
  6. Step 6: Final answer
    x = 240,784.87

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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.