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Finding the Fourth Proportional to 310,960.58, 466,474.18 and 86,321.96

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Solution

The fourth proportional to 310,960.58, 466,474.18 and 86,321.96 is: 129,492.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,960.58 : 466,474.18 = 86,321.96 : x
  2. Step 2: Convert to fraction form
    310,960.58/466,474.18 = 86,321.96/x
  3. Step 3: Cross multiply
    310,960.58x = 466,474.18 × 86,321.96
  4. Step 4: Simplify right side
    310,960.58x = 40,266,965,506.99
  5. Step 5: Solve for x
    x = 40,266,965,506.99/310,960.58
  6. Step 6: Final answer
    x = 129,492.19

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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.