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Finding the Fourth Proportional to 408,635.39, 563,597.32 and 265,441.57

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Solution

The fourth proportional to 408,635.39, 563,597.32 and 265,441.57 is: 366,101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,635.39 : 563,597.32 = 265,441.57 : x
  2. Step 2: Convert to fraction form
    408,635.39/563,597.32 = 265,441.57/x
  3. Step 3: Cross multiply
    408,635.39x = 563,597.32 × 265,441.57
  4. Step 4: Simplify right side
    408,635.39x = 149,602,157,468.59
  5. Step 5: Solve for x
    x = 149,602,157,468.59/408,635.39
  6. Step 6: Final answer
    x = 366,101.81

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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.