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Finding the Fourth Proportional to 289,021.10, 433,531.65 and 277,211.30

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Solution

The fourth proportional to 289,021.10, 433,531.65 and 277,211.30 is: 415,816.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,021.10 : 433,531.65 = 277,211.30 : x
  2. Step 2: Convert to fraction form
    289,021.10/433,531.65 = 277,211.30/x
  3. Step 3: Cross multiply
    289,021.10x = 433,531.65 × 277,211.30
  4. Step 4: Simplify right side
    289,021.10x = 120,179,872,287.65
  5. Step 5: Solve for x
    x = 120,179,872,287.65/289,021.10
  6. Step 6: Final answer
    x = 415,816.95

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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.