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Finding the Fourth Proportional to 484,533.44, 726,915.17 and 152,109.44

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Solution

The fourth proportional to 484,533.44, 726,915.17 and 152,109.44 is: 228,200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,533.44 : 726,915.17 = 152,109.44 : x
  2. Step 2: Convert to fraction form
    484,533.44/726,915.17 = 152,109.44/x
  3. Step 3: Cross multiply
    484,533.44x = 726,915.17 × 152,109.44
  4. Step 4: Simplify right side
    484,533.44x = 110,570,656,181.90
  5. Step 5: Solve for x
    x = 110,570,656,181.90/484,533.44
  6. Step 6: Final answer
    x = 228,200.26

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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.