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Finding the Fourth Proportional to 475,564.77, 656,273.14 and 260,704.78

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Solution

The fourth proportional to 475,564.77, 656,273.14 and 260,704.78 is: 359,769.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,564.77 : 656,273.14 = 260,704.78 : x
  2. Step 2: Convert to fraction form
    475,564.77/656,273.14 = 260,704.78/x
  3. Step 3: Cross multiply
    475,564.77x = 656,273.14 × 260,704.78
  4. Step 4: Simplify right side
    475,564.77x = 171,093,542,291.16
  5. Step 5: Solve for x
    x = 171,093,542,291.16/475,564.77
  6. Step 6: Final answer
    x = 359,769.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.