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Finding the Fourth Proportional to 400,119, 600,096.46 and 175,355.53

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Solution

The fourth proportional to 400,119, 600,096.46 and 175,355.53 is: 262,997.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,119 : 600,096.46 = 175,355.53 : x
  2. Step 2: Convert to fraction form
    400,119/600,096.46 = 175,355.53/x
  3. Step 3: Cross multiply
    400,119x = 600,096.46 × 175,355.53
  4. Step 4: Simplify right side
    400,119x = 105,230,232,794.42
  5. Step 5: Solve for x
    x = 105,230,232,794.42/400,119
  6. Step 6: Final answer
    x = 262,997.34

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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.