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Finding the Fourth Proportional to 289,032.30, 433,548.45 and 269,349.30

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Solution

The fourth proportional to 289,032.30, 433,548.45 and 269,349.30 is: 404,023.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,032.30 : 433,548.45 = 269,349.30 : x
  2. Step 2: Convert to fraction form
    289,032.30/433,548.45 = 269,349.30/x
  3. Step 3: Cross multiply
    289,032.30x = 433,548.45 × 269,349.30
  4. Step 4: Simplify right side
    289,032.30x = 116,775,971,523.59
  5. Step 5: Solve for x
    x = 116,775,971,523.59/289,032.30
  6. Step 6: Final answer
    x = 404,023.95

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1.5x scale

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.