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Finding the Fourth Proportional to 447,738, 617,889.51 and 243,800.10

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Solution

The fourth proportional to 447,738, 617,889.51 and 243,800.10 is: 336,450.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,738 : 617,889.51 = 243,800.10 : x
  2. Step 2: Convert to fraction form
    447,738/617,889.51 = 243,800.10/x
  3. Step 3: Cross multiply
    447,738x = 617,889.51 × 243,800.10
  4. Step 4: Simplify right side
    447,738x = 150,641,524,326.95
  5. Step 5: Solve for x
    x = 150,641,524,326.95/447,738
  6. Step 6: Final answer
    x = 336,450.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.