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Finding the Fourth Proportional to 466,339.34, 698,841.57 and 200,028.62

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Solution

The fourth proportional to 466,339.34, 698,841.57 and 200,028.62 is: 299,756.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,339.34 : 698,841.57 = 200,028.62 : x
  2. Step 2: Convert to fraction form
    466,339.34/698,841.57 = 200,028.62/x
  3. Step 3: Cross multiply
    466,339.34x = 698,841.57 × 200,028.62
  4. Step 4: Simplify right side
    466,339.34x = 139,788,317,342.95
  5. Step 5: Solve for x
    x = 139,788,317,342.95/466,339.34
  6. Step 6: Final answer
    x = 299,756.65

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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.