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Finding the Fourth Proportional to 408,634.64, 563,596.28 and 265,440.82

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Solution

The fourth proportional to 408,634.64, 563,596.28 and 265,440.82 is: 366,100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,634.64 : 563,596.28 = 265,440.82 : x
  2. Step 2: Convert to fraction form
    408,634.64/563,596.28 = 265,440.82/x
  3. Step 3: Cross multiply
    408,634.64x = 563,596.28 × 265,440.82
  4. Step 4: Simplify right side
    408,634.64x = 149,601,455,894.17
  5. Step 5: Solve for x
    x = 149,601,455,894.17/408,634.64
  6. Step 6: Final answer
    x = 366,100.77

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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.