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Finding the Fourth Proportional to 466,830.40, 700,148.40 and 200,599.60

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Solution

The fourth proportional to 466,830.40, 700,148.40 and 200,599.60 is: 300,857.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,830.40 : 700,148.40 = 200,599.60 : x
  2. Step 2: Convert to fraction form
    466,830.40/700,148.40 = 200,599.60/x
  3. Step 3: Cross multiply
    466,830.40x = 700,148.40 × 200,599.60
  4. Step 4: Simplify right side
    466,830.40x = 140,449,488,980.64
  5. Step 5: Solve for x
    x = 140,449,488,980.64/466,830.40
  6. Step 6: Final answer
    x = 300,857.63

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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.