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Finding the Fourth Proportional to 475,987.44, 714,680.98 and 196,051.44

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Solution

The fourth proportional to 475,987.44, 714,680.98 and 196,051.44 is: 294,365.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,987.44 : 714,680.98 = 196,051.44 : x
  2. Step 2: Convert to fraction form
    475,987.44/714,680.98 = 196,051.44/x
  3. Step 3: Cross multiply
    475,987.44x = 714,680.98 × 196,051.44
  4. Step 4: Simplify right side
    475,987.44x = 140,114,235,269.61
  5. Step 5: Solve for x
    x = 140,114,235,269.61/475,987.44
  6. Step 6: Final answer
    x = 294,365.40

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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.