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Finding the Fourth Proportional to 468,167.52, 701,915.84 and 198,313.84

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Solution

The fourth proportional to 468,167.52, 701,915.84 and 198,313.84 is: 297,328.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,167.52 : 701,915.84 = 198,313.84 : x
  2. Step 2: Convert to fraction form
    468,167.52/701,915.84 = 198,313.84/x
  3. Step 3: Cross multiply
    468,167.52x = 701,915.84 × 198,313.84
  4. Step 4: Simplify right side
    468,167.52x = 139,199,625,587.23
  5. Step 5: Solve for x
    x = 139,199,625,587.23/468,167.52
  6. Step 6: Final answer
    x = 297,328.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.