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Finding the Fourth Proportional to 435,505, 653,298.72 and 169,286.08

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Solution

The fourth proportional to 435,505, 653,298.72 and 169,286.08 is: 253,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,505 : 653,298.72 = 169,286.08 : x
  2. Step 2: Convert to fraction form
    435,505/653,298.72 = 169,286.08/x
  3. Step 3: Cross multiply
    435,505x = 653,298.72 × 169,286.08
  4. Step 4: Simplify right side
    435,505x = 110,594,379,377.82
  5. Step 5: Solve for x
    x = 110,594,379,377.82/435,505
  6. Step 6: Final answer
    x = 253,945.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.