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Finding the Fourth Proportional to 289,730.30, 433,558.65 and 264,847.10

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Solution

The fourth proportional to 289,730.30, 433,558.65 and 264,847.10 is: 396,322.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,730.30 : 433,558.65 = 264,847.10 : x
  2. Step 2: Convert to fraction form
    289,730.30/433,558.65 = 264,847.10/x
  3. Step 3: Cross multiply
    289,730.30x = 433,558.65 × 264,847.10
  4. Step 4: Simplify right side
    289,730.30x = 114,826,751,132.42
  5. Step 5: Solve for x
    x = 114,826,751,132.42/289,730.30
  6. Step 6: Final answer
    x = 396,322.89

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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.