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Finding the Fourth Proportional to 311,752.53, 430,223.04 and 175,792.95

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Solution

The fourth proportional to 311,752.53, 430,223.04 and 175,792.95 is: 242,596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,752.53 : 430,223.04 = 175,792.95 : x
  2. Step 2: Convert to fraction form
    311,752.53/430,223.04 = 175,792.95/x
  3. Step 3: Cross multiply
    311,752.53x = 430,223.04 × 175,792.95
  4. Step 4: Simplify right side
    311,752.53x = 75,630,177,359.57
  5. Step 5: Solve for x
    x = 75,630,177,359.57/311,752.53
  6. Step 6: Final answer
    x = 242,596.84

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Why These Related Problems?

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