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Finding the Fourth Proportional to 465,971.44, 698,070.80 and 240,994.88

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Solution

The fourth proportional to 465,971.44, 698,070.80 and 240,994.88 is: 361,033.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,971.44 : 698,070.80 = 240,994.88 : x
  2. Step 2: Convert to fraction form
    465,971.44/698,070.80 = 240,994.88/x
  3. Step 3: Cross multiply
    465,971.44x = 698,070.80 × 240,994.88
  4. Step 4: Simplify right side
    465,971.44x = 168,231,488,677.50
  5. Step 5: Solve for x
    x = 168,231,488,677.50/465,971.44
  6. Step 6: Final answer
    x = 361,033.91

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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.