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Finding the Fourth Proportional to 289,376.20, 433,481.10 and 194,897.80

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Solution

The fourth proportional to 289,376.20, 433,481.10 and 194,897.80 is: 291,953.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,376.20 : 433,481.10 = 194,897.80 : x
  2. Step 2: Convert to fraction form
    289,376.20/433,481.10 = 194,897.80/x
  3. Step 3: Cross multiply
    289,376.20x = 433,481.10 × 194,897.80
  4. Step 4: Simplify right side
    289,376.20x = 84,484,512,731.58
  5. Step 5: Solve for x
    x = 84,484,512,731.58/289,376.20
  6. Step 6: Final answer
    x = 291,953.91

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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.