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Finding the Fourth Proportional to 289,233.10, 433,849.65 and 194,754.70

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Solution

The fourth proportional to 289,233.10, 433,849.65 and 194,754.70 is: 292,132.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,233.10 : 433,849.65 = 194,754.70 : x
  2. Step 2: Convert to fraction form
    289,233.10/433,849.65 = 194,754.70/x
  3. Step 3: Cross multiply
    289,233.10x = 433,849.65 × 194,754.70
  4. Step 4: Simplify right side
    289,233.10x = 84,494,258,430.86
  5. Step 5: Solve for x
    x = 84,494,258,430.86/289,233.10
  6. Step 6: Final answer
    x = 292,132.05

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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.