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Finding the Fourth Proportional to 415,863.24, 623,684.16 and 116,325.24

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Solution

The fourth proportional to 415,863.24, 623,684.16 and 116,325.24 is: 174,456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,863.24 : 623,684.16 = 116,325.24 : x
  2. Step 2: Convert to fraction form
    415,863.24/623,684.16 = 116,325.24/x
  3. Step 3: Cross multiply
    415,863.24x = 623,684.16 × 116,325.24
  4. Step 4: Simplify right side
    415,863.24x = 72,550,209,596.20
  5. Step 5: Solve for x
    x = 72,550,209,596.20/415,863.24
  6. Step 6: Final answer
    x = 174,456.90

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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.