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Finding the Fourth Proportional to 289,037.10, 433,555.65 and 277,227.30

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Solution

The fourth proportional to 289,037.10, 433,555.65 and 277,227.30 is: 415,840.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,037.10 : 433,555.65 = 277,227.30 : x
  2. Step 2: Convert to fraction form
    289,037.10/433,555.65 = 277,227.30/x
  3. Step 3: Cross multiply
    289,037.10x = 433,555.65 × 277,227.30
  4. Step 4: Simplify right side
    289,037.10x = 120,193,462,249.25
  5. Step 5: Solve for x
    x = 120,193,462,249.25/289,037.10
  6. Step 6: Final answer
    x = 415,840.95

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