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Finding the Fourth Proportional to 447,159.77, 616,876.94 and 265,768.63

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Solution

The fourth proportional to 447,159.77, 616,876.94 and 265,768.63 is: 366,639.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,159.77 : 616,876.94 = 265,768.63 : x
  2. Step 2: Convert to fraction form
    447,159.77/616,876.94 = 265,768.63/x
  3. Step 3: Cross multiply
    447,159.77x = 616,876.94 × 265,768.63
  4. Step 4: Simplify right side
    447,159.77x = 163,946,536,351.36
  5. Step 5: Solve for x
    x = 163,946,536,351.36/447,159.77
  6. Step 6: Final answer
    x = 366,639.73

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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.