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Finding the Fourth Proportional to 432,415.53, 647,362.19 and 251,950.10

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Solution

The fourth proportional to 432,415.53, 647,362.19 and 251,950.10 is: 377,190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,415.53 : 647,362.19 = 251,950.10 : x
  2. Step 2: Convert to fraction form
    432,415.53/647,362.19 = 251,950.10/x
  3. Step 3: Cross multiply
    432,415.53x = 647,362.19 × 251,950.10
  4. Step 4: Simplify right side
    432,415.53x = 163,102,965,899.78
  5. Step 5: Solve for x
    x = 163,102,965,899.78/432,415.53
  6. Step 6: Final answer
    x = 377,190.35

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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.