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Finding the Fourth Proportional to 453,796.20, 680,694.30 and 432,023.40

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Solution

The fourth proportional to 453,796.20, 680,694.30 and 432,023.40 is: 648,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,796.20 : 680,694.30 = 432,023.40 : x
  2. Step 2: Convert to fraction form
    453,796.20/680,694.30 = 432,023.40/x
  3. Step 3: Cross multiply
    453,796.20x = 680,694.30 × 432,023.40
  4. Step 4: Simplify right side
    453,796.20x = 294,075,865,846.62
  5. Step 5: Solve for x
    x = 294,075,865,846.62/453,796.20
  6. Step 6: Final answer
    x = 648,035.10

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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.