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Finding the Fourth Proportional to 314,350.60, 471,639.58 and 194,267

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Solution

The fourth proportional to 314,350.60, 471,639.58 and 194,267 is: 291,470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,350.60 : 471,639.58 = 194,267 : x
  2. Step 2: Convert to fraction form
    314,350.60/471,639.58 = 194,267/x
  3. Step 3: Cross multiply
    314,350.60x = 471,639.58 × 194,267
  4. Step 4: Simplify right side
    314,350.60x = 91,624,006,287.86
  5. Step 5: Solve for x
    x = 91,624,006,287.86/314,350.60
  6. Step 6: Final answer
    x = 291,470.75

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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.