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Finding the Fourth Proportional to 429,674.55, 644,205.24 and 201,843.02

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Solution

The fourth proportional to 429,674.55, 644,205.24 and 201,843.02 is: 302,620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,674.55 : 644,205.24 = 201,843.02 : x
  2. Step 2: Convert to fraction form
    429,674.55/644,205.24 = 201,843.02/x
  3. Step 3: Cross multiply
    429,674.55x = 644,205.24 × 201,843.02
  4. Step 4: Simplify right side
    429,674.55x = 130,028,327,920.40
  5. Step 5: Solve for x
    x = 130,028,327,920.40/429,674.55
  6. Step 6: Final answer
    x = 302,620.50

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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.