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Finding the Fourth Proportional to 463,003.55, 697,975.64 and 432,141.24

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Solution

The fourth proportional to 463,003.55, 697,975.64 and 432,141.24 is: 651,450.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,003.55 : 697,975.64 = 432,141.24 : x
  2. Step 2: Convert to fraction form
    463,003.55/697,975.64 = 432,141.24/x
  3. Step 3: Cross multiply
    463,003.55x = 697,975.64 × 432,141.24
  4. Step 4: Simplify right side
    463,003.55x = 301,624,056,398.69
  5. Step 5: Solve for x
    x = 301,624,056,398.69/463,003.55
  6. Step 6: Final answer
    x = 651,450.86

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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.