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Finding the Fourth Proportional to 289,000.20, 432,917.10 and 200,353.80

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Solution

The fourth proportional to 289,000.20, 432,917.10 and 200,353.80 is: 300,126.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,000.20 : 432,917.10 = 200,353.80 : x
  2. Step 2: Convert to fraction form
    289,000.20/432,917.10 = 200,353.80/x
  3. Step 3: Cross multiply
    289,000.20x = 432,917.10 × 200,353.80
  4. Step 4: Simplify right side
    289,000.20x = 86,736,586,069.98
  5. Step 5: Solve for x
    x = 86,736,586,069.98/289,000.20
  6. Step 6: Final answer
    x = 300,126.39

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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.