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Finding the Fourth Proportional to 466,842.40, 700,166.40 and 200,611.60

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Solution

The fourth proportional to 466,842.40, 700,166.40 and 200,611.60 is: 300,875.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,842.40 : 700,166.40 = 200,611.60 : x
  2. Step 2: Convert to fraction form
    466,842.40/700,166.40 = 200,611.60/x
  3. Step 3: Cross multiply
    466,842.40x = 700,166.40 × 200,611.60
  4. Step 4: Simplify right side
    466,842.40x = 140,461,501,770.24
  5. Step 5: Solve for x
    x = 140,461,501,770.24/466,842.40
  6. Step 6: Final answer
    x = 300,875.63

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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.