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Finding the Fourth Proportional to 463,001.30, 697,972.23 and 432,138.98

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Solution

The fourth proportional to 463,001.30, 697,972.23 and 432,138.98 is: 651,447.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,001.30 : 697,972.23 = 432,138.98 : x
  2. Step 2: Convert to fraction form
    463,001.30/697,972.23 = 432,138.98/x
  3. Step 3: Cross multiply
    463,001.30x = 697,972.23 × 432,138.98
  4. Step 4: Simplify right side
    463,001.30x = 301,621,007,540.53
  5. Step 5: Solve for x
    x = 301,621,007,540.53/463,001.30
  6. Step 6: Final answer
    x = 651,447.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.