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Finding the Fourth Proportional to 655,444, 983,219.34 and 182,129.38

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Solution

The fourth proportional to 655,444, 983,219.34 and 182,129.38 is: 273,208.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,444 : 983,219.34 = 182,129.38 : x
  2. Step 2: Convert to fraction form
    655,444/983,219.34 = 182,129.38/x
  3. Step 3: Cross multiply
    655,444x = 983,219.34 × 182,129.38
  4. Step 4: Simplify right side
    655,444x = 179,073,128,798.21
  5. Step 5: Solve for x
    x = 179,073,128,798.21/655,444
  6. Step 6: Final answer
    x = 273,208.89

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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.