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Finding the Fourth Proportional to 442,953.40, 664,343.70 and 143,361.40

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Solution

The fourth proportional to 442,953.40, 664,343.70 and 143,361.40 is: 215,014.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,953.40 : 664,343.70 = 143,361.40 : x
  2. Step 2: Convert to fraction form
    442,953.40/664,343.70 = 143,361.40/x
  3. Step 3: Cross multiply
    442,953.40x = 664,343.70 × 143,361.40
  4. Step 4: Simplify right side
    442,953.40x = 95,241,242,913.18
  5. Step 5: Solve for x
    x = 95,241,242,913.18/442,953.40
  6. Step 6: Final answer
    x = 215,014.14

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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.