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Finding the Fourth Proportional to 432,851.42, 648,607.25 and 299,991.17

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Solution

The fourth proportional to 432,851.42, 648,607.25 and 299,991.17 is: 449,522.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,851.42 : 648,607.25 = 299,991.17 : x
  2. Step 2: Convert to fraction form
    432,851.42/648,607.25 = 299,991.17/x
  3. Step 3: Cross multiply
    432,851.42x = 648,607.25 × 299,991.17
  4. Step 4: Simplify right side
    432,851.42x = 194,576,445,304.92
  5. Step 5: Solve for x
    x = 194,576,445,304.92/432,851.42
  6. Step 6: Final answer
    x = 449,522.49

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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.