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Finding the Fourth Proportional to 408,463.94, 563,677.09 and 224,698.56

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Solution

The fourth proportional to 408,463.94, 563,677.09 and 224,698.56 is: 310,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,463.94 : 563,677.09 = 224,698.56 : x
  2. Step 2: Convert to fraction form
    408,463.94/563,677.09 = 224,698.56/x
  3. Step 3: Cross multiply
    408,463.94x = 563,677.09 × 224,698.56
  4. Step 4: Simplify right side
    408,463.94x = 126,657,430,427.99
  5. Step 5: Solve for x
    x = 126,657,430,427.99/408,463.94
  6. Step 6: Final answer
    x = 310,082.28

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1.5x scale

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.