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Finding the Fourth Proportional to 296,490.40, 444,806.40 and 96,811.16

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Solution

The fourth proportional to 296,490.40, 444,806.40 and 96,811.16 is: 145,239.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,490.40 : 444,806.40 = 96,811.16 : x
  2. Step 2: Convert to fraction form
    296,490.40/444,806.40 = 96,811.16/x
  3. Step 3: Cross multiply
    296,490.40x = 444,806.40 × 96,811.16
  4. Step 4: Simplify right side
    296,490.40x = 43,062,223,559.42
  5. Step 5: Solve for x
    x = 43,062,223,559.42/296,490.40
  6. Step 6: Final answer
    x = 145,239.86

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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.