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Finding the Fourth Proportional to 288,908.10, 433,362.15 and 194,429.70

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Solution

The fourth proportional to 288,908.10, 433,362.15 and 194,429.70 is: 291,644.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,908.10 : 433,362.15 = 194,429.70 : x
  2. Step 2: Convert to fraction form
    288,908.10/433,362.15 = 194,429.70/x
  3. Step 3: Cross multiply
    288,908.10x = 433,362.15 × 194,429.70
  4. Step 4: Simplify right side
    288,908.10x = 84,258,472,815.86
  5. Step 5: Solve for x
    x = 84,258,472,815.86/288,908.10
  6. Step 6: Final answer
    x = 291,644.55

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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.