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Finding the Fourth Proportional to 306,920.79, 460,308.29 and 117,311.54

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Solution

The fourth proportional to 306,920.79, 460,308.29 and 117,311.54 is: 175,939.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,920.79 : 460,308.29 = 117,311.54 : x
  2. Step 2: Convert to fraction form
    306,920.79/460,308.29 = 117,311.54/x
  3. Step 3: Cross multiply
    306,920.79x = 460,308.29 × 117,311.54
  4. Step 4: Simplify right side
    306,920.79x = 53,999,471,486.57
  5. Step 5: Solve for x
    x = 53,999,471,486.57/306,920.79
  6. Step 6: Final answer
    x = 175,939.44

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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.