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Finding the Fourth Proportional to 289,060.41, 433,294.56 and 99,463.71

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Solution

The fourth proportional to 289,060.41, 433,294.56 and 99,463.71 is: 149,093.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,060.41 : 433,294.56 = 99,463.71 : x
  2. Step 2: Convert to fraction form
    289,060.41/433,294.56 = 99,463.71/x
  3. Step 3: Cross multiply
    289,060.41x = 433,294.56 × 99,463.71
  4. Step 4: Simplify right side
    289,060.41x = 43,097,084,460.42
  5. Step 5: Solve for x
    x = 43,097,084,460.42/289,060.41
  6. Step 6: Final answer
    x = 149,093.69

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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.