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Finding the Fourth Proportional to 462,093.20, 693,139.80 and 434,099.60

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Solution

The fourth proportional to 462,093.20, 693,139.80 and 434,099.60 is: 651,149.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,093.20 : 693,139.80 = 434,099.60 : x
  2. Step 2: Convert to fraction form
    462,093.20/693,139.80 = 434,099.60/x
  3. Step 3: Cross multiply
    462,093.20x = 693,139.80 × 434,099.60
  4. Step 4: Simplify right side
    462,093.20x = 300,891,709,924.08
  5. Step 5: Solve for x
    x = 300,891,709,924.08/462,093.20
  6. Step 6: Final answer
    x = 651,149.40

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Similar ratio
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1.5x scale

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.