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Finding the Fourth Proportional to 289,567.94, 433,871.84 and 204,908.64

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Solution

The fourth proportional to 289,567.94, 433,871.84 and 204,908.64 is: 307,023.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,567.94 : 433,871.84 = 204,908.64 : x
  2. Step 2: Convert to fraction form
    289,567.94/433,871.84 = 204,908.64/x
  3. Step 3: Cross multiply
    289,567.94x = 433,871.84 × 204,908.64
  4. Step 4: Simplify right side
    289,567.94x = 88,904,088,668.70
  5. Step 5: Solve for x
    x = 88,904,088,668.70/289,567.94
  6. Step 6: Final answer
    x = 307,023.25

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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.