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Finding the Fourth Proportional to 462,830.40, 694,245.60 and 163,308.60

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Solution

The fourth proportional to 462,830.40, 694,245.60 and 163,308.60 is: 244,962.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,830.40 : 694,245.60 = 163,308.60 : x
  2. Step 2: Convert to fraction form
    462,830.40/694,245.60 = 163,308.60/x
  3. Step 3: Cross multiply
    462,830.40x = 694,245.60 × 163,308.60
  4. Step 4: Simplify right side
    462,830.40x = 113,376,276,992.16
  5. Step 5: Solve for x
    x = 113,376,276,992.16/462,830.40
  6. Step 6: Final answer
    x = 244,962.90

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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.