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Finding the Fourth Proportional to 289,051.20, 432,993.60 and 194,572.80

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Solution

The fourth proportional to 289,051.20, 432,993.60 and 194,572.80 is: 291,466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,051.20 : 432,993.60 = 194,572.80 : x
  2. Step 2: Convert to fraction form
    289,051.20/432,993.60 = 194,572.80/x
  3. Step 3: Cross multiply
    289,051.20x = 432,993.60 × 194,572.80
  4. Step 4: Simplify right side
    289,051.20x = 84,248,777,134.08
  5. Step 5: Solve for x
    x = 84,248,777,134.08/289,051.20
  6. Step 6: Final answer
    x = 291,466.62

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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.