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Finding the Fourth Proportional to 655,393.44, 983,088.23 and 295,142.54

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Solution

The fourth proportional to 655,393.44, 983,088.23 and 295,142.54 is: 442,712.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,393.44 : 983,088.23 = 295,142.54 : x
  2. Step 2: Convert to fraction form
    655,393.44/983,088.23 = 295,142.54/x
  3. Step 3: Cross multiply
    655,393.44x = 983,088.23 × 295,142.54
  4. Step 4: Simplify right side
    655,393.44x = 290,151,150,855.15
  5. Step 5: Solve for x
    x = 290,151,150,855.15/655,393.44
  6. Step 6: Final answer
    x = 442,712.93

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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.