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Finding the Fourth Proportional to 653,773.17, 980,716.07 and 180,458.55

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Solution

The fourth proportional to 653,773.17, 980,716.07 and 180,458.55 is: 270,703.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,773.17 : 980,716.07 = 180,458.55 : x
  2. Step 2: Convert to fraction form
    653,773.17/980,716.07 = 180,458.55/x
  3. Step 3: Cross multiply
    653,773.17x = 980,716.07 × 180,458.55
  4. Step 4: Simplify right side
    653,773.17x = 176,978,599,051.61
  5. Step 5: Solve for x
    x = 176,978,599,051.61/653,773.17
  6. Step 6: Final answer
    x = 270,703.37

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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.