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Finding the Fourth Proportional to 484,364.14, 726,184.24 and 334,175.86

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Solution

The fourth proportional to 484,364.14, 726,184.24 and 334,175.86 is: 501,014.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,364.14 : 726,184.24 = 334,175.86 : x
  2. Step 2: Convert to fraction form
    484,364.14/726,184.24 = 334,175.86/x
  3. Step 3: Cross multiply
    484,364.14x = 726,184.24 × 334,175.86
  4. Step 4: Simplify right side
    484,364.14x = 242,673,244,318.19
  5. Step 5: Solve for x
    x = 242,673,244,318.19/484,364.14
  6. Step 6: Final answer
    x = 501,014.06

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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.