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Finding the Fourth Proportional to 311,715.95, 430,159.39 and 175,748.70

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Solution

The fourth proportional to 311,715.95, 430,159.39 and 175,748.70 is: 242,528.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,715.95 : 430,159.39 = 175,748.70 : x
  2. Step 2: Convert to fraction form
    311,715.95/430,159.39 = 175,748.70/x
  3. Step 3: Cross multiply
    311,715.95x = 430,159.39 × 175,748.70
  4. Step 4: Simplify right side
    311,715.95x = 75,599,954,759.02
  5. Step 5: Solve for x
    x = 75,599,954,759.02/311,715.95
  6. Step 6: Final answer
    x = 242,528.35

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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.