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Finding the Fourth Proportional to 311,523.21, 429,914.69 and 175,562.90

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Solution

The fourth proportional to 311,523.21, 429,914.69 and 175,562.90 is: 242,283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,523.21 : 429,914.69 = 175,562.90 : x
  2. Step 2: Convert to fraction form
    311,523.21/429,914.69 = 175,562.90/x
  3. Step 3: Cross multiply
    311,523.21x = 429,914.69 × 175,562.90
  4. Step 4: Simplify right side
    311,523.21x = 75,477,066,701.61
  5. Step 5: Solve for x
    x = 75,477,066,701.61/311,523.21
  6. Step 6: Final answer
    x = 242,283.93

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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.