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Finding the Fourth Proportional to 541,229.28, 746,823.60 and 314,700

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Solution

The fourth proportional to 541,229.28, 746,823.60 and 314,700 is: 434,243.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,229.28 : 746,823.60 = 314,700 : x
  2. Step 2: Convert to fraction form
    541,229.28/746,823.60 = 314,700/x
  3. Step 3: Cross multiply
    541,229.28x = 746,823.60 × 314,700
  4. Step 4: Simplify right side
    541,229.28x = 235,025,386,920
  5. Step 5: Solve for x
    x = 235,025,386,920/541,229.28
  6. Step 6: Final answer
    x = 434,243.67

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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.