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Finding the Fourth Proportional to 311,885.16, 430,385.06 and 175,915.24

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Solution

The fourth proportional to 311,885.16, 430,385.06 and 175,915.24 is: 242,753.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,885.16 : 430,385.06 = 175,915.24 : x
  2. Step 2: Convert to fraction form
    311,885.16/430,385.06 = 175,915.24/x
  3. Step 3: Cross multiply
    311,885.16x = 430,385.06 × 175,915.24
  4. Step 4: Simplify right side
    311,885.16x = 75,711,291,122.31
  5. Step 5: Solve for x
    x = 75,711,291,122.31/311,885.16
  6. Step 6: Final answer
    x = 242,753.75

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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.