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Finding the Fourth Proportional to 311,941.62, 468,174.87 and 292,258.62

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Solution

The fourth proportional to 311,941.62, 468,174.87 and 292,258.62 is: 438,633.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,941.62 : 468,174.87 = 292,258.62 : x
  2. Step 2: Convert to fraction form
    311,941.62/468,174.87 = 292,258.62/x
  3. Step 3: Cross multiply
    311,941.62x = 468,174.87 × 292,258.62
  4. Step 4: Simplify right side
    311,941.62x = 136,828,141,424.88
  5. Step 5: Solve for x
    x = 136,828,141,424.88/311,941.62
  6. Step 6: Final answer
    x = 438,633.81

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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.