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Finding the Fourth Proportional to 289,084.20, 433,043.10 and 200,437.80

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Solution

The fourth proportional to 289,084.20, 433,043.10 and 200,437.80 is: 300,252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,084.20 : 433,043.10 = 200,437.80 : x
  2. Step 2: Convert to fraction form
    289,084.20/433,043.10 = 200,437.80/x
  3. Step 3: Cross multiply
    289,084.20x = 433,043.10 × 200,437.80
  4. Step 4: Simplify right side
    289,084.20x = 86,798,206,269.18
  5. Step 5: Solve for x
    x = 86,798,206,269.18/289,084.20
  6. Step 6: Final answer
    x = 300,252.34

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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.