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Finding the Fourth Proportional to 408,635.64, 563,597.66 and 265,441.82

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Solution

The fourth proportional to 408,635.64, 563,597.66 and 265,441.82 is: 366,102.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,635.64 : 563,597.66 = 265,441.82 : x
  2. Step 2: Convert to fraction form
    408,635.64/563,597.66 = 265,441.82/x
  3. Step 3: Cross multiply
    408,635.64x = 563,597.66 × 265,441.82
  4. Step 4: Simplify right side
    408,635.64x = 149,602,388,618.14
  5. Step 5: Solve for x
    x = 149,602,388,618.14/408,635.64
  6. Step 6: Final answer
    x = 366,102.16

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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.