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Finding the Fourth Proportional to 456,476.80, 684,715.20 and 140,933.20

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Solution

The fourth proportional to 456,476.80, 684,715.20 and 140,933.20 is: 211,399.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,476.80 : 684,715.20 = 140,933.20 : x
  2. Step 2: Convert to fraction form
    456,476.80/684,715.20 = 140,933.20/x
  3. Step 3: Cross multiply
    456,476.80x = 684,715.20 × 140,933.20
  4. Step 4: Simplify right side
    456,476.80x = 96,499,104,224.64
  5. Step 5: Solve for x
    x = 96,499,104,224.64/456,476.80
  6. Step 6: Final answer
    x = 211,399.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.