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Finding the Fourth Proportional to 408,464.09, 563,677.30 and 224,698.70

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Solution

The fourth proportional to 408,464.09, 563,677.30 and 224,698.70 is: 310,082.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,464.09 : 563,677.30 = 224,698.70 : x
  2. Step 2: Convert to fraction form
    408,464.09/563,677.30 = 224,698.70/x
  3. Step 3: Cross multiply
    408,464.09x = 563,677.30 × 224,698.70
  4. Step 4: Simplify right side
    408,464.09x = 126,657,556,529.51
  5. Step 5: Solve for x
    x = 126,657,556,529.51/408,464.09
  6. Step 6: Final answer
    x = 310,082.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.