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Finding the Fourth Proportional to 466,526.17, 699,784.64 and 213,734.94

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Solution

The fourth proportional to 466,526.17, 699,784.64 and 213,734.94 is: 320,600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,526.17 : 699,784.64 = 213,734.94 : x
  2. Step 2: Convert to fraction form
    466,526.17/699,784.64 = 213,734.94/x
  3. Step 3: Cross multiply
    466,526.17x = 699,784.64 × 213,734.94
  4. Step 4: Simplify right side
    466,526.17x = 149,568,428,705.30
  5. Step 5: Solve for x
    x = 149,568,428,705.30/466,526.17
  6. Step 6: Final answer
    x = 320,600.30

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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.