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Finding the Fourth Proportional to 296,494.40, 444,812.40 and 96,815.16

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Solution

The fourth proportional to 296,494.40, 444,812.40 and 96,815.16 is: 145,245.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,494.40 : 444,812.40 = 96,815.16 : x
  2. Step 2: Convert to fraction form
    296,494.40/444,812.40 = 96,815.16/x
  3. Step 3: Cross multiply
    296,494.40x = 444,812.40 × 96,815.16
  4. Step 4: Simplify right side
    296,494.40x = 43,064,583,675.98
  5. Step 5: Solve for x
    x = 43,064,583,675.98/296,494.40
  6. Step 6: Final answer
    x = 145,245.86

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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.