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Finding the Fourth Proportional to 314,446.95, 433,944.59 and 171,214.85

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Solution

The fourth proportional to 314,446.95, 433,944.59 and 171,214.85 is: 236,280.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,446.95 : 433,944.59 = 171,214.85 : x
  2. Step 2: Convert to fraction form
    314,446.95/433,944.59 = 171,214.85/x
  3. Step 3: Cross multiply
    314,446.95x = 433,944.59 × 171,214.85
  4. Step 4: Simplify right side
    314,446.95x = 74,297,754,859.36
  5. Step 5: Solve for x
    x = 74,297,754,859.36/314,446.95
  6. Step 6: Final answer
    x = 236,280.73

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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.