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Finding the Fourth Proportional to 465,730.70, 698,596.05 and 386,998.70

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Solution

The fourth proportional to 465,730.70, 698,596.05 and 386,998.70 is: 580,498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,730.70 : 698,596.05 = 386,998.70 : x
  2. Step 2: Convert to fraction form
    465,730.70/698,596.05 = 386,998.70/x
  3. Step 3: Cross multiply
    465,730.70x = 698,596.05 × 386,998.70
  4. Step 4: Simplify right side
    465,730.70x = 270,355,763,175.14
  5. Step 5: Solve for x
    x = 270,355,763,175.14/465,730.70
  6. Step 6: Final answer
    x = 580,498.05

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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.