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Finding the Fourth Proportional to 306,719.88, 460,126.26 and 96,338.04

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Solution

The fourth proportional to 306,719.88, 460,126.26 and 96,338.04 is: 144,521.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,719.88 : 460,126.26 = 96,338.04 : x
  2. Step 2: Convert to fraction form
    306,719.88/460,126.26 = 96,338.04/x
  3. Step 3: Cross multiply
    306,719.88x = 460,126.26 × 96,338.04
  4. Step 4: Simplify right side
    306,719.88x = 44,327,662,040.93
  5. Step 5: Solve for x
    x = 44,327,662,040.93/306,719.88
  6. Step 6: Final answer
    x = 144,521.65

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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.