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Finding the Fourth Proportional to 447,362.88, 617,157.32 and 265,971.92

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Solution

The fourth proportional to 447,362.88, 617,157.32 and 265,971.92 is: 366,920.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,362.88 : 617,157.32 = 265,971.92 : x
  2. Step 2: Convert to fraction form
    447,362.88/617,157.32 = 265,971.92/x
  3. Step 3: Cross multiply
    447,362.88x = 617,157.32 × 265,971.92
  4. Step 4: Simplify right side
    447,362.88x = 164,146,517,342.45
  5. Step 5: Solve for x
    x = 164,146,517,342.45/447,362.88
  6. Step 6: Final answer
    x = 366,920.29

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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.